Thursday, April 30, 2009

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^^!!!!

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