Tuesday, April 21, 2009

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

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