Mathematics 30-1 Module 6

Module 6: Exponents and Logarithms

In Try This 3 you looked at graphing logarithmic functions from their equations. It is also possible to write the equation of a logarithmic function when given the graph of the function.

Read “Example 3” on pages 387 and 388 of the textbook. Notice that there are two methods:

Method 1 examines how the graph is transformed and determines the equation using the transformations.
Method 2 uses a specific point on the given function to determine the equation by substituting the point into a logarithmic form.

Self-Check 3

textbook

Complete “Your Turn” at the end of “Example 3” on page 388 of the textbook. Answer

This is a group of photos of different flowers.

Hemera/Thinkstock

As you saw in Focus, logarithmic functions can describe some growth situations. One such situation is the relationship between the number of flower species and the population of butterflies. In Try This 4 you will examine how a logarithmic function can be used to model growth and solve problems.