# Ch 12: Exponential and Logarithmic Functions

Watch video lessons on exponential and logarithmic functions to learn their properties and find out how to work with them. Each lesson is accompanied by a short multiple-choice quiz to help check your understanding of these functions topics.

## Exponential and Logarithmic Functions - Chapter Summary and Learning Objectives

Exponential and logarithmic functions deal with variables that are proportional to the functions' current values. The lessons in this chapter will help you understand how they work and about exponential growth and exponential decay. You'll learn methods of writing logarithmic equations and how to graph a logarithmic function. This chapter is designed to teach you to:

• Define an exponential function
• Define natural base e and graph its functions
• Evaluate a logarithm
• Graph a logarithmic function
• Solve exponential equations
• Calculate growth

Video Objective
What is an Exponential Function? Define an exponential function.
Exponential Growth vs. Decay Compare the processes of growth and decay.
Transformation of Exponential Functions Translate and exponential function horizontally and vertically.
Using the Natural Base e Define the nature base and graph natural base functions.
What is a Logarithm? Define a logarithm.
How to Evaluate Logarithms Evaluate logarithms.
Inverse of Logarithmic Functions Rewrite logarithmic equations in exponential form and vice versa.
Exponentials, Logarithms and the Natural Logarithm Understand and use the natural logarithm.
Basic Graphs and Shifted Graphs of Logarithmic Functions Graph a logarithmic function and identify its vertical asymptote, domain and range.
Logarithmic Properties Understand the basic properties of logarithms.
Practice Problems for Logarithmic Properties Learn to solve problems with logarithmic properties.
How to Solve Logarithmic Equations Learn to solve logarithmic equations.
Change-of-Base Formula for Logarithms Define the change-of-base formula and use it to evaluate logarithmic expressions.

14 Lessons in Chapter 12: Exponential and Logarithmic Functions
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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