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# Module25

### How to use common logarithms, natural Logarithms and the change of base formula.

What are Common Logarithms? logarithms to base 10, written as log x.
What are Natural Logarithms? logarithms to base e, written as ln x.
What is a logarithm? A logarithm is an exponent.
What is the change base formula? The change base formula is log x =logx/logb and it only works if a,b, and c are positive numbers and neither b nor c is equal to 1.
How do you enter a logarithm with a different base on a graphing calculator? using the change base formula log(x)/log(b)
What is another way of writting logx=y x=10^y
How do you evaluate log64 with base 2? log(64)/log(2)= 6
How do you evaluate ln 1 ? ln(1)=0
How do you find x in log x=1.8? Rewrite the equation in exponent form and solve for x.Since we know the equation is common logarithm we know the base is 10 so x=10^1.8~63.0957
How do you find x in ln x=2? Rewrite the equation in exponent form and solve for x. Since it's a natuaral logarithm we know that the base is e. so x=e^2~7.3890
Created by: irenamuco