Activity Overview
In this activity, students will solve simple logarithmic equations and verify solutions using the corresponding exponential equations.
Vocabulary
- exponential function
- domain
- one-to-one function
- logarithmic function
- range
- inverse function
About the Lesson
This lesson involves the one-to-one function f(x) = bx. In acknowledging the existence of its inverse, students will:
- Use the domain and range of f(x) to determine the domain and range of f–1(x).
- Interpret the graph of f–1(x) as the reflection of f(x) across the line y = x.
- Use this inverse relationship to write an equation for the graph of the inverse.
- Recognize the logarithmic notation needed to define the inverse function.
- Use the inputs and outputs of two inverse functions to complete a table and find patterns within the table.
As a result, students will:
- Solve simple logarithmic equations and verify solutions using the corresponding exponential equations.
*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.