MAC 1105Section 4.3Logarithmic Functions

The Inverse of a Exponential Function

Logarithmic Functions

Example 1: Write each exponential equation in logarithmic form.

Example 2: Write each logarithmic equation in exponential form.

Evaluating Logarithms

Basic Properties of Logarithms

Graphs of Logarithmic Functions

Example 6: Graph the following graphs.

Special Logs Common Log

This a logarithm with base 10. If no base is indicated, we assume base 10. We can find the common log of any positive

number on the calculator.

Natural Log This a logarithm with base e. This is denoted as ln We can find the natural log of any positive

number on the calculator as well.