1. 5.5 Evaluating Logarithms 3/6/2013

2. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property

3. Expand and Condense Logarithmic Expressions Expand: is a sum and/or difference of logs. Condense: A single log expression.

4. Expand/Condense a Logarithmic Expression Expanded Form. log 4 5x 2 = log 4 5 log 4 x 2 + = log 4 5 2 log 4 x + Let’s go in reverse and condense the expanded form into a single log form. Example 1

5. Example 2 Rewrite as a single Logarithmic Expression

6. Example 3 Rewrite as a single Logarithmic Expression

7. Example 4 Evaluate

8. Example 5 Evaluate

9. Example 6 Evaluate

10. Example 7 Evaluate

11. Homework: 5.5 odd problems only