Education Technology

What is Log - 84

Subject Area
Math: AP Precalculus: Exponential and Logarithmic Functions
Math: Precalculus: Exponential and Logarithmic Functions
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons
Exam Prep

What is Log - 84

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.

Subject Area
Math: AP Precalculus: Exponential and Logarithmic Functions
Math: Precalculus: Exponential and Logarithmic Functions
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons
Exam Prep
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