10-2 Logarithms and Logarithmic Functions Objective: To write exponential equations in logarithmic form and vice versa. To evaluate logarithmic expressions. To solve equations and inequalities involving logarithmic functions.

A logarithm is a power.

Simply put a logarithm is a question: This is asking 3 to what power is 81? So the answer is …

Exponential Form Logarithmic Form So in logb N = k, b and N cannot be negative.

Shortcuts

Shortcuts: Slide and Switch

Example 1 Write in exponential form: a) b) c)

Example 2 Write in logarithmic form: a) b) c)

Example 3 a)

Example 3 b)

Example 3 c)

Example 4 Solve a)

Example 4 Solve b)

Assignment 10-2 pg 609 #22-44 even