1. 3.3 Day 2 Condensing Logarithmic Expressions The Change of Base Property Pg. 408 # 42-64 even, 72-78 even

2. Condensing Logarithmic Expressions Use the properties of logarithms to change the sum or difference of logarithms into one single logarithm. 1. 2.

3. 3.

4. 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!

5. 4.Rewrite as a quotient of common logarithms Use common logarithms to evaluate: Use natural logarithms to evaluate: 5. log 7 2506 6. log 7 2506