You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?

Properties of Logarithms 1.Product Property 2.Quotient Property 3.Power Property The log bases must be the same in order to apply these properties!

Product Property

Quotient Property

Power Property

To condense: Rewrite as one logarithm To expand: Rewrite as multiple logarithm

Example 1: Condense the following logarithmic expression.

Example 2: Condense the following logarithmic expression.

Example 3: Condense the following logarithmic expressions.

Example 4: Expand the following logarithmic expression.

Example 5: Condense the following logarithmic expression.

Example 6: Condense the following logarithmic expressions.