1. The inverse function of an Exponential functions is a log function. The inverse function of an Exponential functions is a log function. Domain: Range: Key Points: Asymptotes: Graphing Logarithmic Functions

2. For each function below: a) List sequence of transformations and sketch b) State domain, range, and asymptotes c) Determine the inverse function. d) Sketch the inverse by reflecting graph of original function

3. Section 4.5 Properties of Logarithms Condense and Expand Logarithmic Expressions. Properties: 1.Power Rule 2.Product Rule 3.Quotient Rule 4.Condense an expression 5.Expand an expression

4. Properties of Logarithms Change of Base Formula:

5. 1. Power Rule “Expanding a logarithmic expression” Rewrite using the power rule. “Expanding a logarithmic expression” Rewrite using the power rule.

6. 2. Product Rule “Expanding a logarithmic expression” Rewrite using the Product Rule. “Expanding a logarithmic expression” Rewrite using the Product Rule.

7. 3. Quotient Rule “Expanding a logarithmic expression” Rewrite using the Quotient Rule. “Expanding a logarithmic expression” Rewrite using the Quotient Rule.

8. 4. Expand the following expressions completely

9. 5. Condensing Logarithmic Expressions Rewrite as a single log expression Coefficients of logarithms must be 1 before you can condense them.

10. More practice….