1. Table of Contents Logarithm Properties - Simplifying Using Combinations The three basic properties for logarithms are... It is important to be able to combine these properties in simplifying logarithms.

2. Table of Contents Slide 2 Example 1: Expand the logarithm Logarithm Properties - Simplifying Using Combinations Quotient Rule Power Rule

3. Table of Contents Slide 3 Logarithm Properties - Simplifying Using Combinations Example 2: Expand the logarithm Rational Exponents Power Rule

4. Table of Contents Slide 4 Logarithm Properties - Simplifying Using Combinations Quotient Rule Product Rule Power Rule

5. Table of Contents Slide 5 Logarithm Properties - Simplifying Using Combinations Example 3: Write Power Rule Quotient Rule as a single logarithm.

6. Table of Contents Slide 6 Logarithm Properties - Simplifying Using Combinations Example 4: Write the following as a single logarithm. Power Rule

7. Table of Contents Slide 7 Logarithm Properties - Simplifying Using Combinations Product Rule Quotient Rule Factored out the negative.

8. Table of Contents Slide 8 Logarithm Properties - Simplifying Using Combinations In working the previous problem, two steps are normally skipped. When all logs are written to the same base, if a (+) sign comes before the log, write the expression in the numerator... and if a (-) sign appears before the log, write the expression in the denominator...

9. Table of Contents Logarithm Properties - Simplifying Using Combinations