# Ch 19: Exponential Functions & Logarithms in Precalculus

Discover what is meant by exponential growth and more as you watch the videos in our Exponential Functions in Precalculus chapter. Practice your skills and check for mastery using our lesson quizzes and chapter tests.

## Exponential Functions in Precalculus - Chapter Summary and Learning Objectives

These short videos explain what is meant when we say that a number or value increases exponentially. As you work through the lessons, you will find out how this works and be able to apply these concepts to everyday realities. The videos will help you understand things like:

• How to identify and explain what an exponential function is
• Calculating, comparing and contrasting exponential growth and decay
• What logarithms are and how to work with them
• The meaning and application of natural base
• Graphing logarithms and logarithmic functions
• How to transform an exponential function

## Course Topics

VideoObjective
What Is an Exponential Function? Identify exponential functions
Exponential Growth vs. Decay Describe and compare exponential growth and decay
Transformation of Exponential Functions: Examples, Lesson & Quiz Explore exponential horizontal and vertical transformations
Using the Natural Base e: Definition, Lesson & Quiz Explain and graph natural base functions
What is a Logarithm? Discover logarithms and their applications
How to Evaluate Logarithms Learn how to evaluate logarithms
Writing the Inverse of Logarithmic Functions: Lesson & Quiz Transpose logarithmic equations
Exponentials, Logarithms & the Natural Log Review basic properties
Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples Graph a logarithmic function
Logarithmic Properties Describe and use logarithmic properties
Practice Problems for Logarithmic Properties Practice working with logarithmic properties
How to Solve Logarithmic Equations Solve logarithmic equations with exponentials
Using the Change-of-Base Formula for Logarithms: Definition & Example Explain and use the change-of-base formula
How to Solve Exponential Equations Work with exponential equations with logarithms
Behavior of Exponential and Logarithmic Functions Examine functions with different bases

15 Lessons in Chapter 19: Exponential Functions & Logarithms in Precalculus
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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