Ch 14: TExES Math 4-8: Exponentials & Logarithms

About This Chapter

Use our one-of-a-kind chapter resources, including video lessons and self-check quizzes, to help you refresh the crucial skills you need to master in order to pass the TExES certification exam for Math levels 4-8. Use these lessons to ensure you possess the necessary level of comprehension and competency with exponentials and logarithms you need to pass the test.

TExES Math 4-8: Exponentials & Logarithms - Chapter Summary

These lessons to help you refresh the basics of exponentials and logarithms as part of your study process for the TExES Math 4-8 exam. The videos and their text transcripts review the following:

  • Exponential growth and exponential decay in function form
  • Evaluations of logarithms and logarithm properties t
  • Solving exponential and logarithmic equations

Our qualified instructors guide you through each topic in preparation for the test. Jump to specific video sections with the timeline tags and use the text transcripts to for an alternative review.

TExES Math 4-8: Exponentials & Logarithms - Chapter Objectives

The TExES Math 4-8 test assesses your knowledge and your comprehension of mathematic concepts and strategies as well as teaching competency to determine your readiness for middle school level teacher licensing in Texas. The topics in this chapter are part of the Patterns and Algebra domain, which makes up approximately 21% of the overall exam.

The self-assessment quizzes that accompany each lesson test your understanding of these crucial concepts, while also enabling you to familiarize yourself with the types of questions you'll actually see on exam day. All of the 90 questions on the test are multiple-choice and are administered either by computer or on paper.

8 Lessons in Chapter 14: TExES Math 4-8: Exponentials & Logarithms
Test your knowledge with a 30-question chapter practice test
What Is an Exponential Function?

1. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

Exponential Growth vs. Decay

2. Exponential Growth vs. Decay

How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!

What is a Logarithm?

3. What is a Logarithm?

Logarithms can help you solve exponential functions. In this lesson, you will learn about how to work with and recognize logarithms, and how to use logarithm notation with an example problem about earthquakes!

How to Evaluate Logarithms

4. How to Evaluate Logarithms

Using this lesson, you can get practice evaluating logarithms, as well as learn some of the shortcuts behind writing and estimating them. You can also learn how to use your calculator to evaluate logarithms, and learn about a concept called the change of base theory.

Logarithmic Properties

5. Logarithmic Properties

Along with the change of base property, there are three other logarithmic properties that allow you to manipulate expressions to your advantage. Learn about the product rule, quotient rule and power rule here.

Practice Problems for Logarithmic Properties

6. Practice Problems for Logarithmic Properties

As you get further and further into mathematics, logarithms will appear more and more. It's the point of this lesson to get you used to dealing with them and able to know what to do when you see a whole line of paper full of them!

How to Solve Exponential Equations

7. How to Solve Exponential Equations

Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.

How to Solve Logarithmic Equations

8. How to Solve Logarithmic Equations

If you're ever picking out a telescope to see your favorite planet, make sure you do the math first! Learn how to solve the logarithmic equation that will get you the size telescope you want.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the TExES Mathematics 4-8 Exam (115): Study Guide & Review course