Ch 17: Praxis Mathematics: Logarithmic Functions

About This Chapter

Let this chapter teach you about logarithmic functions and how to use them to solve problems. You can get ready for the Praxis Mathematics tests with these video lessons and self-assessment quizzes.

Praxis Mathematics: Logarithmic Functions - Chapter Summary

In the lessons in this chapter, you can learn to use the properties of logarithmic functions to solve problems. One lesson consists of problems that allow you to test your skills at using logarithmic properties in problem solving. These videos will help you get ready for the exam questions by covering topics that include:

  • Types of logarithmic properties
  • Graphing logarithmic properties
  • Solving logarithmic equations
  • Practice problems for logarithmic properties

Experienced instructors lead each lesson, explaining how to use logarithmic properties to solve problems and showing you how to graph logarithmic properties. You'll find it enjoyable to prepare for these types of questions on the exam.

Objectives of the Praxis Mathematics: Logarithmic Functions Course

In many states, individuals who want to teach mathematics at the secondary school level must pass the Praxis Mathematics test. This test consists of 50 multiple-choice questions, and you have two hours to finish. The topics covered in the Logarithmic Functions chapter are included in the exam's section on functions. This functions section consists of eight questions, which equal about 16% of the exam as a whole.

On the exam, you'll be given problems with four possible solutions. You must use a graphing calculator for some questions. By completing the self-assessment quizzes that come with each video, you will become comfortable with the test question format.

6 Lessons in Chapter 17: Praxis Mathematics: Logarithmic Functions
Test your knowledge with a 30-question chapter practice test
Logarithmic Properties

1. Logarithmic Properties

It is possible to manipulate logarithms using various properties similar to how multiplication has the distributive property. Explore the basics of quotient property, power property, and product property of logarithms.

Logarithmic Function: Definition & Examples

2. Logarithmic Function: Definition & Examples

Exponential functions and logarithmic functions are closely tied. In fact, they are so closely tied we could say a logarithm is actually an exponent in disguise. A logarithm, or log, is just another way to write an exponential function in reverse.

Behavior of Exponential and Logarithmic Functions

3. Behavior of Exponential and Logarithmic Functions

After watching this video lesson, you will be able to recognize exponential and logarithmic functions by looking at the end behavior of the graphs. You will also learn how the graphs change.

Exponential Growth vs. Decay

4. Exponential Growth vs. Decay

Exponential growth occurs when the base of an exponential is bigger than 1, while exponential decay occurs when the base is between 1 and 0. Explore the similarities and differences between exponential growth, exponential decay, and asymptotes.

Practice Problems for Logarithmic Properties

5. Practice Problems for Logarithmic Properties

The product property, quotient property, and power property make it easier to simplify or expand logarithms. Use these same logarithmic properties to solve practice problems included in this lesson.

How to Solve Logarithmic Equations

6. How to Solve Logarithmic Equations

Exponentiating both sides of an equation can be used to solve equations with logs on either side of the equals sign. Explore how to solve logarithmic equations when there are logs on the same side of an equals sign and when they are on either side as well.

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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Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course