3.3 Day 2 Condensing Logarithmic Expressions The Change of Base Property Pg. 408 # even, even

Condensing Logarithmic Expressions Use the properties of logarithms to change the sum or difference of logarithms into one single logarithm

3.

Change of Base Formula The 2 bases we are most able to calculate logarithms for are base 10 and base e. These are the only bases that our calculators have buttons for! For ease of computing a logarithm, we may want to switch from one base to another. So, we can use our calculator if we know this formula: The new base, a, can be any integer>1. But, to use our calculator, we simply assume a =10 so we can use the common log button or a = e so we can use the natural log button. As long as a>1, the base does not matter!

4.Rewrite as a quotient of common logarithms Use common logarithms to evaluate: Use natural logarithms to evaluate: 5. log log