## Thursday, April 30, 2009

### BoB Exponents and Logarithms

Bonjour! It's kalekalekale here just gonna do a quick BoB and get to studying after a long day of work. This unit was very informative and fairly straight forward. I found myself lost in this last week because of the fact that I missed class on monday. Thanks to you wonderful bloggers, I'm back on track. Well, we have a test tomorrow and I hope everyone studies.

Don't Forget:
LOGARITHMS ARE EXPONENTS

### B to the O to the B, BOB

So I almost for got to do this. I have been neglecting my homework for this unit, well because I have some very important studying to be done (just a week and some left) and major projects to be finish. With that said I did not get as much practice as I wanted, so I'm afraid for the test. I really do hope that I'll do well but lets just see how things go. I'm gonna go back to do what I was doing prior to this now and I'll be stuDYING . Well good luck guys and break a nail.

A LOGARITHM IS AN EXPONENT!!!!

### BOB

Alright, I practically have no time to provide this BOB with any mathematical help. I'm confident about this unit as well. However I must complete my super important English assignment asap. I suggest looking at the slides, doing homework, MENTALLY REVIEW (without paper), and increasing your confidence by means of saying stuff like "im gonna rock this test!" And you do not have to say that stuff, but like just believe that youre gonna smoke the test because it is helpful. Good luck everyone!!

HERE!!!!

### Exponential BOBs

Well seeing as the test is coming up tommorow and everyone is scrambling to do their posts, I guess i's my turn to do mine.

This basically this test is gonna be about logrithims, so all we need to remeber that logs are exponents.

If you have log(MN), you could express it as log(M) + log (N)
If you have log(M/N), you could express it as log(M) - log (N)

And you can remember Pert and what not, and the reason we like to use "e" is because the exponent is the rate.

So thats's basically what i think i need to remember, so good luck on the test tommorow guys and gals.

### BOB for Exponents and Logarithm

About this unit, i think there are some thing that we need to remember:

- A LOGARITHM IS AN EXPONENT. (Mr.K always says that we're going to forget that!!)

- The product law : logbAB = logbA + logbB

- The quotient law : logbA/B = logbA - logbB

- The power law : logbCk = k(logbC)

- The change of base law:

- The exponential function : f(x) = ex

- The natural logarithm : f(x) = ln(x)

- A = P(1+r/n)tn

- A = Pert

-
A = A0(m)t

-
A = A0(m)t/p

I wasn't in class for a last few days so i'm not sure if this is enough, but i think i kind of get it now even though i got some confused at first. Anyway, GOOD LUCK to every one. ^^

### Reflection

Big Ups to Anthony!

He's been a trooper helping me out :D also my late night study budy. HAHA seriously guys, ADD ME :)

So far so good. Not an overly difficult topic but because I haven't been practising.. I haven't gotten it down pat yet!

It's pretty much embedded in my head that:
• A logarithm is an exponent!
Short and sweeet. Just like me :)
(Note to self: never say that agian)

Time to study!

---------

Okay, maybe it was TOO SHORT.

Since I haven't been attending class lately, I've been relying on the slides and on your scribe posts!

I say, GOOD JOB! It's been helping me ALOT :)

• don't forget a logarithm is an exponent (this was a little difficult to understand in the begning)
• factor (it's so much easier to solve logarithms after factoring .. PROPERLY)
• log and ln exist on a calculator for a reason :D (i just learned that @1am)

There are a few things thought that I've been having trouble with since some of the slides do not explain EVERYTHING.

Such as: (being that {x} = subscript)
• a^x = b turns into log{a}b = log{c}b / log {c}a
• log{5}( 3x + 1 ) + log{5}(x-1) = 3 turns into 3x^2 - 2x - 1 where did the log{5} go?! and why!?
• reason for rejecting?
• antilogs
• ln is confusing

Note to self: Study earlier. (Yes, it has taken me this long to realise :) haha)

" You only fail when you've given up completely. "

### BOB

So, tomorrow is our test, and after reading over our slides over and over again a few days ago, I finally get this unit! Yes, I finally get this unit.

At first, I really really disliked this unit, jut because of the fact that I didn't like exponents. Yes, I know what you're thinking, "Who doesn't like exponents??" Well, i did. I didn't get how negative exponents worked, and now after reading over the stuff, and after I gave it a try, well.. I realized that it wasn't that hard to understand.

There aren't really a lot of things to remember for this unit, except for the fact that A LOGARITHM is an EXPONENT. Another thing to remember would be that an exponential function turns an exponent into a power, while a logarithmic function turns a power into an exponent.

These are the laws that we should know:

The Product Law
logbMN = logbM + logbN

The Quotient Law
logb(M/N) = logbM - logbN

The Power Law

logbMk = klogbM

We should also know that when no base is indicated, the base of the logarithm is base 10 .
Also, remember the
Change of base formula:

some formula's we should know about..
A = P(1+r/n)t
A = Pert

A = A0(model)t
A = A0(m)t/p

Well, yeah, thats pretty much what weve learned in this unit. There are a few more, but I cant really remember them at the moment. So I guess Im off to study.

### Spock was telling the truth...

So I'm back... and this time I'm here with the scribe post for today! :)

We started off the day by talking about marks, tests, and exams. Turns out if you get a higher mark on your final exam than your class mark, Mr. K will automatically give you the higher mark! :D But don't just bet it all on that exam since he says there's a higher probability that you will get a higher mark in class than in the provincial exams.

Everyone was given numbers and we went into our groups!

We then went back to our homework which was to prove whether Spock was telling the truth. Turns out he was telling the truth and this was verified by Anthony. Instead of just using the formula to figure out the partial sum (which turned out to be 1 million), you have to keep adding the partial sums in order to get the number that Spock mentioned (which was 1 771 561). Hahhhh.. I don't really recall what Anthony did in order to get Spock's number. Comment on the post with the answer Anthony! :)

Mr. K advanced the slide and we were presented with the first question of the group pre-test.

Sometimes questions will ask how many years it would take for the population to double and they won't include numbers but it won't matter because after the second line you'll end up dividing the doubled number by the original number which will equal to 2! (Hahhh... I hope that made sense.)

*Make sure you use the squiggly equal sign to show that it's a decimal approximation.

In, 1(c) we also used the same formula as the previous two, so that should be easy to understand without any elaborate explanations.

From the 1(b) we know that the population doubles in (approximately) 128.7069 years. From 1(a) we got, P = 630 700(1.0054)y. We just replace 1.0054 with 2. In the exponent, we just divide time (t) by the period (p) which is 128.7069 in this case.

In 1(e), we use the "pert" formula as Mr. K calls it. A = Pert and just plug in the numbers.

I'll post up the rest of the answers -- the ones that I have figured out anyway -- for the rest of the slides (as in the ones that weren't part a part of the pre-test.) later.. or something. XD

I hope this helped the people who were away for the university thing understand the exponential formulas more. Good luck to everyone on the test!

The next scribe blindly picked by me and with the help of my cousin's pointing finger is... Anthony!

### exponents and logarithm BOB!

For this unit, we focused on exponents and logarithms. Its straight forward, as long as you remember that a LOGARITHM IS AN EXPONENT, the laws, and how to apply the formulas. So far, this would have to be my favorite unit. Probably because its the only unit i did good on the quiz. XD
The thing that could bug me on the test, would be those "model" questions....just because i haven't done many of them. But i'll be sure to concentrate on those when studying tonight.

Like always, I suggest you guys to do those questions left behind on today's slides for practice, and past provincial exams. links are found on the side of the blog. and dont forget to do your delicious tags!

okay, good luck guys!

### Reflection on Exponents and Logarithms

Um hi, I'm your alternate scribe for the day since Emmelion was not present in class. But this isn't the scribe post just yet, it's just my BOB because our test is tomorrow..

It feels to me as though this unit went by quickfast. The logs deal sounds simple enough, or not. XD It does get disconcerting every once in a while but I'll be fine.. I hope so anyway.

Er, we've ended the unit off with exponential modelling which is the hard part for me. I need to figure out which formula to implement for various cases. I guess it's time to whip out that exercise booklet we were given at the beginning of the course. 8)

Important things to remember:

• The Anatomy of a Power:
ab = c

a is the base.
b is the exponent.
c is the power.

• Exponential Functions have asymptotes.

• A logarithm is an exponent!!! (Just saying.)

• logac = b

a is the base.
b is the exponent.
c is the power.

Given f(x) = logdx...

• In f(x):
Inputs are exponents.
Outputs are powers.

• In f-1(x):
Inputs are powers.
Outputs are exponents.

(logax is just the inverse of ax.)

• The Product Law:
logbMN = logbM + logbN

• The Quotient Law:
logb = logbM - logbN

• The Power Law:
logbMk = klogbM

• The Change of Base Law:

• logaax = x

• The Common Logarithm: when no base is indicated, the base of the logarithm is 10

• The Exponential Function
f(x) = ex

• The Natural Logarithm
f(x) = ln(x)

Formulas, ahhhh!

• A = P(1+)tn

A is the amount.
P is the principle.
r is the interest rate.
n is the times you compound.
t is the time.

• A = Pert
(with continuous interest? :S)

• A = A0(m)t

A0 is the original amount.
m is the multiplication factor or growth rate.

• A = A0(m)t/p

p is the period; amount required to multiply by "m" once.

D: That took much longer than I expected. Hmm, I hope I got all the information right, else leave me a comment and I'll change it ASAP. :) Yeah, good luck to everyone on the test and you know.. study. Don't forget your delicious links too!
• ### Today's Slides: April 30

Here they are ...

### BOB

Exponents and Logarithms!

As we lean about logarithm,just remember one thing:The Logarithm is an Exponent.

a^b=c ===> b = Loga c

a is the base , c is the power and b is the exponent.

Some laws that we have to review :

The product Law :

Logb MN = Logb M + logb N

The Quotient Law :

Logb M/N = logb M - logb N

The power Law :

logb M^k = k logb^M

In Genaral :

Loga a^x = x

a^(loga x) = x

Notes : When no base is indicated,the base of the logarithm is base 10

The Exponential Function :

f(x) = e^x

The Natural Logarithm :

f(x) = ln(x)

Some useful formulas :

A = P(1+r/n)^(t*n)

A = P*e^(r*t)

Rule of 72 :

(Years to double your investment) = 72 : (Interest rate %)

A = A0(m^t)

A = A0[m^(t/p)]

I think that's enough and now I have to study for the test tomorrow.So good luck everyone^^!!!!

### BOB

Exponents and Logarithms

This unit we learned about logarithms and exponents. And so far, i have not forgotten that LOGARITHMS ARE EXPONENTS!!!...log to the base 10 are on our calculators so we use that. We also use natural logarithms which is log to the base e, or LN.

e is approximately 2.712828

we learned a couple of formulas including:

A=P(1+r/n)^(t*n)

P=e^(r*t)

A=A0 (model)^t

A=A0 (m)^(t/p)

LogbMN=LogbM +LogbN

Logb(M/N)=LogbM - LogbN

LogbM^k = kLogbM

A bunch of the stuff we learned was basically plugging information in and then solving for whichever variable we needed to find.

I think that covers most of what we learned

Jonno - Out

## Wednesday, April 29, 2009

### Attempt on a Quick Blog

This is Jonno here as your scribe today. I will warn you right now that this scribe will NOT be of the greatest quality, because of my hectic schedule. However, let's begin with the slides!

skip slide 1 for now

slide 2 contained information that we already learned which is finding the value of x, using logarithms and LN-->Logs with base e.

slide 3 was just a recap on how the functions transform. graph one is just e^x moved down 2 units, e^-x is a reflection of e^x on the y axis, and the last graph is e^x moved down one unit>>HOWEVER!!!<
Slide 4 was also old news. y=e^x and y=lnx are inverses of each other, which is why they reflect of the line y=x. basically, in the inverse graph, the x and y values of the original graph are switched around. That is why the domains and ranges of each function is switched around, as well as the roots and y-intercepts.

Slide 5 - as we learned today, e is a number that starts 2.71828, which is roughly close to 3, so their graphs look pretty similar. y=ln(-x), i believe, is y=ln(x) reflected over the y axis. In the second graph, i believe you multiply the y values or y=ln(x) by -1, then your move the graph down, 2 units.

Slide 6 - finally, something new! the slide basically explains exponential modeling, and i think you can understand more by reading it, than by me trying to explain it.

slide 7 - in slide 7, we finally start getting engaged in work and put exponential modeling to use. By using the formula, and plugging in the given information, we are able to find out the model of the function or learn the rate at which it grows.

slide 8 - there is a cool website link on the slide that brings you to a "clock" that predicts different things, such as births and deaths, using exponential functions. Mr. K also said that using base e was better because it already gives you the rate (or some other important number>>COMMENT IF YOU KNOW THE RIGHT TERM SO I CAN CHANGE IT) .

slide 9 - in this slide we continue to learn about exponential modeling and even introduced *p!(*the amount of time required to multiply m once!).

slide 10 - we use our new found knowledge in to solve the bacteria question. Once again, we just need to know what information we're given, plug it in, and then work it out. Of course, the answer is rounded off because you can't have half of a bacteria (unless maybe it was dead).

slide 11 - i understand that we were finding the half life and plugging it into the equation and such...but there are some things i don't understand on working it out...(IF ANYONE CAN HELP ME EXPLAIN THIS SLIDE LEAVE A COMMENT PLEASE)...Mr. K did say to raise your hand if you didn't understand the question, but i really wanted to see the video-__- so now i guess i need help...

slide 13 - after watching the star treck video, we are posed with a problem...was the guy with long ears telling the truth? I found the answer to be 1 000 000 after three days. Therefore if he was saying this some time during the fourth day, the means 3 days and a bit have passed making it POSSIBLE (i think)...but if it is EXACTLY 3 days, then he was lying.

slide 14 - To Be Continued

Reminders: WE ARE HAVING A GROUP-STYLE PRE-TEST TOMORROW SO UNDERSTAND THE MATERIAL!!! ALSO, THE TEST IS STILL SCHEDULED FOR FRIDAY, SO DON'T FORGET TO DO YOUR BOB AND YOUR DELICIOUS LINKS!!!

Once again, i would like to apologize for the sloppy scribe...I don't have much time today so i did my best to finish everything in about 1 hour... If you see ANY errors in my blog or if you would like me to edit/revise/add stuff to the scribe (or try to spice it off) just leave a NASTY comment (that is still apporpriate of course) and I will do my best to change it when i have time (probably Friday)

As for the next Scribe...i choose you! EMMELION!!!

### Today's Slides: April 29

Here they are ...

## Monday, April 27, 2009

### PC40SW09 Math Warriors

Greetings PC40SW09 Math Warriors. Anyways, it is our duty to conceive and master the art of mathematics. We will utilize our skills and knowledge by annihilating every test and quiz that comes in our way. Will we be prepared? Yes and this is because we will study, do homework, ask questions, and attempt to apprehend math in various ways.

Yes yes, my scribe post is weaksauce haha. All we did today was receive a sheet from a substitute because Mr. K was absent. This post focuses on that worksheet as well as some random stuff I decided to input since I felt that my scibe post was naked and devoid of the natural scribe essence.

Yes uhh, theres this arrow at the top left of this slide thingy to zoom in. Silly slideshare takes so long. Waited for an hour and the thing wasnt even published yet, so I found a new resource. That's why this is late. And only three of the slides are derivative. The rest were made by me with my tablet and scanner.

These slides are for April 27, 2009.

JONNO YOU LUCKY DUCKY!! I grant you the obligation to scribe tomorrow

### The Big "e"

Today we learned about the magical and mystic number "e". "e" is created by Euler and for complicated reasons, we don't really have much explanation to it, but we'll go over it in calculus.

Well, "e" is used in THE exponential function and THE natural logarithm. Note the use of THE, IT IS REALLY IMPORTANT because THE exponential function is not the same as this exponential function:
,
and THE natural logarithm is not the same as this logarithm:
.
the "a"s in THE exponential function and THE natural logarithm are replaced by "e"

Bah, so it seems that I cant put 2 exponents in the equations generator thingy.
Well the thing i was trying to do was to show Euler's equation known as " e^(pi*i)+1=0, which has the 5 most important numbers in math.

Oh yeah, we learned about the "Rule of 72", which states: Interest rate % * Years to Double = 72 (too bad it wasn't 42, would have answered my question).

And yeah, that's basically what we did, I'll end this by choosing Aldrin S as the next scribe.

### Today's Slides: April 27

Here they are ...

## Sunday, April 26, 2009

### Timeline

• May 1: Question 1 created
• May 6: Question 2 created
• May 11: Question 3 and 4 created
• May 18: Final Question created
• May19-25: Final editing of the 5 questions
• May 30: Creating Presentation
• June 5: Final due date of Presentation

### I have to swallow 1000 needles because of this late timeline, right?

This is Pacifico's timeline:

I already have my theme, storyline and framework for the digital presentation so I just need to do my questions and polish the presentation.

May 4: Finish creating, improvising and solving questions 1 and 2. Start question 3.
May 8: Finish creating, improvising and solving question 3. Start inputting questions in presentation.
May 18: Create question 4.
May 22: Finish creating, improvising and solving question 4. Then input question #4.
May 29: Finish presentation and start reflection.
June 7: DONE.

Timeline probably will change because there's a high chance that my parents might come home from a distant land. = =''
And they stress me out.

### Timeline

Oh gosh, I'm sorry about the late time line it totally slipped my mind.

April 27 - Finish the plot
May 1 - Question One Create
May 3 - Solved question one and create question 2
May 7 - Solve question 2, and finish creating question 3
May 11 - Solve question 3 and finish creating question 4
May 15 - Solve Question 4
May 17 - Beautify the questions ( fix and make pretty)
May 20 - Put it all together

Absolute deadline May 28, 2009

## Saturday, April 25, 2009

### Compound Interest

Last thursday, Mr K. gave us a link to over 50 ideas on how to tell a story using online gadgets with Domino's story. He also suggested the website, jamendo.com, for free and legally approved music to use for our projects. After taking some time talking about presentation ideas and things about our projects, we had a pop quiz (which our quizzes always are).

***

From the quiz, I noted the following things (which are basic things that we reviewed):

1. A fraction can be transformed into exponential form with a negative exponent. Example: 1/1000 = 1/(10^3) = 10^(-3)

2. To add (or subtract) two logs of different bases, do your best to solve each argument and then do the addition (or subtraction).

3. A LOGARITHM IS AN EXPONENT!!

4. When you have the same bases, you can equate their exponents.

5. When multiplying powers of the same base, you just add the logarithm of each factor.

6.

***

After the quiz, we had the chance to talk about compound interest. Compound interest is the concept of adding an interest back to the principal amount to get more interest. To determine compound interest, the following formula is used,

where: A = amount of money you will have in the end
P = the initial amout of money that you have
r = annual interest rate (as a decimal)
n = number of times the principle is compounded per year (1 for annually, 2 for every six months)
t = time (number of years)

Compound interest is basically plugging-in numbers into the formula. I suggest you take time to view the youtube video included in the day's slides for better explanation. :)

***

That's it for now. (--,) I choose.. trinhn as the next scribe.
Hahaha hello... sorry.. i guess i suck for being late but here's the basic timeline for Kale and I's project!

May 1 to 7- Create and add pizazz to question 1 and with luck create question 2.

May 8to 14- Finalize question 2 and add some more pizazz to it and (once again with luck) Create and hopefully even start to jazz up question 3!

May 15 to 21- Finish up question 3, Create 4 and hopefully start the 'zazzage!

May 22 to 28- Finish up question 4 and Create 5! (Possibly make it awesome as well?)

May 29 to June 6- Finalize question 5... add final pieces of zazz to entire project... With luck throw a 6th question on there for some mathematical icing on our developed expert cake! ( Idc how lame it is... haha)

June 7- FINAL DUE DATE ( yeah it's the last possible day, so sue me...us... whatever)

### Timeline!

Sorry about the late post for the timeline. I completely forgot.

Idea for how I'm gonna post this will be due April 29th

Prepare question 1 by May 1st

Prepare question 2 by May 5th

Prepare question 3 by May 9th

Prepare question 4 by May 15th

All questions on blog by May 22nd

Final touches will be done by May 30th

Absolute latest date is June 5th

Once again sorry Mr.K for the late post on my timeline.

## Friday, April 24, 2009

MAY 1 – Make the questions

MAY 8 – Complete questions 1 and 2

MAY 15 – Complete questions 3 and 4

MAY 22 – Complete questions 5 and 6

MAY 29 – Finish Final Project and make the presentation

JUNE 7 – Final Due date

### Jonno's DEV Timeline

Apr 26 - Draft 4 questions
May 3 - Prepare question 1
May 10 - Prepare question 2
May 17 - Prepare question 3
May 24 - Prepare question 4
May 31 - Finishing touches / Project Completion Date(hopefully)
Jun 7 - The Absolute Deadline

## Thursday, April 23, 2009

### D.E.V. Timeline for...well.........us!

Heeeey there all you matheees! Here's is our ever so short and ever so vague (well not really) TIMELINE for our D.E.V. (which stands for DEVELOPING EXPERT VOICES!). Haaah as you can see I am veeery excited to do this project and so are my two amigos, Dion and Mary! (Okay well one amigo and one amiga.) So anyways, I'll stop myself before I ramble on.

This timeline is brought to you by me (jayp) on behalf of my group members (Dion and Mary). It's also brought to you by the letters D, E and V and the number 6! Here it is!

Apr.24-30: Figure out/Finalize our EPIC storyline.

Apr.30-May 13: Figure out/Answer/Finalize all 6 questions and add them into the storyline.**

May 14-16: Make a video filming plan so we aren't filming around aimlessly.

May 17-June 2: Film and edit video so that it looks beee-yoou-tee-full!

June 3-4: Make sure everything is "movie" perfect and upload.

June 5: ABSOLUTE DAY OF DOOM!

**We basically gave ourselves 2 days/question (2 days*6 questions=12 days) plus one day just in case. We didn't give ourselves days for each question because we know that each question may take a little more time than others so we just thought we'd give ourselves around two days for each question. If we have extra time, then we'll use that for the tougher question(s).

So there it is! In black, Arial font, size "normal" open for all of you guys to see! Good luck with all of your project guys! And also good luck on our next test!

### Today's Slides: April 23

Here they are ...

## Wednesday, April 22, 2009

### The Lion's DEV Deadlines

Updated April 30 (Since now I know what I'm doing)

April 26
• Decide what to do.
• Have Sample Questions Read
May 3
• Freewebs Website Created including Title
• Complete all four questions and solve
• Start creating ideas for a layout and presentation of questions
May 8
• Deadline for ideas (presentation of questions and layout)
• Confirm and draft
May 10
• Final drafts deadline
• Start creating layout and presentation of questions

May 15
• Complete Pictures for questions
May 17
• Complete layout
• Picture Editing Deadline
May 22
• Start Creating extras
May 24
• Presentation of questions Deadline

May 29
• Work on outstanding assignments for project
• Complete all questions
• Extras Due
May 31

June 7

### Huzzah. Logarithms with Quadratic Equations, Properties of Logarithmic and Exponential Functions, A.I.G. and Bernie Madoff.

Hi. Pacifico here and this is the scribe post for April 22, 2009.
If there's errors like calculations and grammar, please tell me so I could change it.

Next scribe is... ianayana

### Today's Slides: April 22

Here they are ...

### DEV Timeline

APRIL 30 – Have the Story Line Finished

MAY 4 – Finalize Question 1 and 2

MAY 8 – Finalize Question 3 and 4

MAY 11 – Start Final Project

MAY 28 – Finish Final Project

JUNE 1 – Figure out how I’m going to publish my project

JUNE 6 – Final Due date

### aldrin's DEV Timeline

I have deattached the name Sheldon Cooper from myself. I shall rename my tags from delicious and the blog too. Anyways,

April 25 - Complete Q1 on website

May 2 - Complete Q2 and Q3 on website

May 9 - Complete Q4 and Q5 on website

May 16 - Complete Q6 on website, do reflection, add extras

May 23 - Enhance website

May 30 - Just chill

June 6 - Chill once again, and possibly re-enhance/improve website

June 7 - My chosen final due date

Yeah, I'm solo and doing six. Don't criticize me :P I think I'll be finished my project by like May 9 though, so my timeline is exceedingly off.

## Tuesday, April 21, 2009

### DEV Project Timeline

DEV Project Timeline

April 24 - Finalize all questions.
April 26 - Develop story concept.
April 28 - Finalize storyline.
April 28 to May 21 - Work on comic.
May 21 - Finalize all panels.
May 21 to May 31 - Tweak, edit.
May 31 - Absolute DEV project deadline.

### Scribe.

Here's my attempt at another Scribe post for today's events. Here goes:

A Logarithm is an exponent.

Thought I'd point that one out right now so we don't forget.
We first did a small recap of the Common Logarithm, which is base 10.

We then found out the change of base law:

This is used to make solving logarithms easier since it allows you to change the base to something more convenient, like base 10.

We then solved some questions using Logarithms. They can be found in today's slides.
The key things I learned form these questions consist of:
-Knowing you can take the Log of anything
-Remembering that a Logarithm is an Exponent
-Give up to four decimal places
-Knowing the proper way to solve the question. For example,

The text in blue(Right hand side) indicates a common error in the way we solve this question. The red text is the correct way. This is important because the blue text gives the incorrect answer (The x value in the red text is 3.2990).

-Remember that the argument of a logarithm function has to be greater then zero because it is, after all, an exponent

-Know how to enter things into the calculator properly. For example:

The brackets are very important. If you enter this the way it looks, which is: (log2-log6)/(log6-log3), the calculator sees it like the following picture shows and calculates the wrong answer (Or in this case, the right answer to the wrong question).

The correct way to enter this would be the following:
((log2)-(log6))/((log6)-(log3))

I think I covered what we learned in class, but feel free to let me know if I'm incorrect or missed something. Also remember to do the homework, which are the top 10 and any 5 after. Also, the 5 we pick should be challenging to us. Oh, and I almost forgot, the next person to do this will be Pacifico.
Ciao.

-ConstantEcho

### Today's Slides: April 21

Here they are ...

## Monday, April 20, 2009

### Scribe 420

Hey ladies and gentlemen. This is kalekalekale here doing his scribe post. We started off class by discussing our DEV projects. Mr. K gave us some links that may be helpful. One of them was blip. This site would alow us to post and view videos on the net.

After that section of our class, we got into logarithims. Here is the solution to one question on
the slides.

I used the product and quotient laws to expand it and substitute the logs with the numbers. *If I made an error let me know a.s.a.p. ;)

Following those questions and some others, we were introduced to a new law, the CHANGE OF BASE LAW!

Remember this, and also remember that logarithms are exponents!

This is all I have time for tonight, our class was very simple and well planned. Good transitions Mr. K!

Everyone keep DEV in the back of their minds and keep in touch with your delicious accounts!

Next scribe will be stephen!

Goodnight everyone!

### Today's Slides: April 20

Here they are ...

## Sunday, April 19, 2009

My Time line for the DEV :

- April 23 : make a sample problem for question #1 and find the answer on papers.

- April 25 : make a sample problem for question #2 and find the answer on papers.

- April 30 : do the final copy for question #1 and #2 on the computer.

- May 3 : make a sample problem for question #3 and find the answer on papers.

- May 8 : make a sample problem for question #4 and find the answer on papers.

- May 12 : do the final copy for question #3 and #4 on the computer.

- May 22 : combine all the 4 questions, fix them and prepare to publish online.

Due day : june 5.

### Timeline

This is my time line for the Humongous Math Project:

May 9- First two questions decided and answered.

May 16- Questions 3 and 4 decided and answered

May 23- Website made, designed, links established.

May 30- Finishing touches put on project.

June 7- Project finished and published.

### Our Awesome DEV Timeline

April 25- have first question finished and polished
May 2- have second question finished and polished
May 9- have third question finished and polished
May 16- have fourth question finished and polished
May 23- have fifth question finished and polished

DUE DATE: June 4

## Saturday, April 18, 2009

### Relationship between exponent and logarithm

Hi, this is Ale, I am sorry for the delay in posting. On Friday we learned the relationship between an exponent and logarithm. In order to understand how logarithm work we need to remember exponential function because a logarithm is a inverse of an exponential function.
What a function does its inverse undoes it. We also have to remember that the exponential function is of form

Where b is the base a is the exponent or the input in case of a function and x is the power.The most important thing we learned is that the logarithm is an exponent. With The famous formula

the exponential function turns the input into power so its inverse which is a logarithm will turn the power exponent

for example if 42 = 16, exponent then its inverse will be log416 = 2

We also have to know that every exponent function has a base of 1

W

http://www.themathpage.com/aPreCalc/logarithmic-exponential-functions.htm

exponential function has x as asymptote but its inverse which logarithm has y as asymptote

We also learned logarithmic laws or rules. As logarithm is an exponent. many law applied to exponent are also used for logarithm

Product law

for exponent :(ab) x = ab*x

eg:(22)2 = 22*2 = 24
• log b MN = log b M*log b

Eg: log 2(8*16) = log 2 8*log 2 16
3 + 4 = 7
• log b (M/N) = log b M-log b N
Eg: log 2(32/138) = log 2 32*log 2 13
5 - 7 = -2
The power law
• log bM k = klog bM
eg : log 285 = 5log 28

Special cases

If the base and the power are the same the result is the same

• log bxy= y
if a base is rased to a power and log is the same base the power

• log logb x = x
http://www.purplemath.com/modules/logrules.htm