Ch 14: MTLE Mathematics: Exponential & Logarithmic Functions

About This Chapter

Take the next step in preparing for the MTLE Mathematics exam by reviewing exponential and logarithmic functions. This chapter focuses on the uses of these equations and how to solve them.

MTLE Mathematics: Exponential & Logarithmic Functions - Chapter Summary

You can review the applications of exponential and logarithmic functions with this chapter. The lessons prepare you for the MTLE Mathematics test by allowing you to look over information about:

  • Definitions of exponential functions and logarithms
  • Examples of exponential growth and decay
  • Methods for evaluating logarithms and logarithmic properties
  • Graphing and solving logarithms
  • Transforming and solving exponential equations
  • The change-of-base formula

Our instructors include examples in each lesson to help you understand these functions. The lessons also include quizzes that allow you to practice applying your knowledge of exponents and logarithms. If you have any questions, contact our instructors using your personal dashboard.

10 Lessons in Chapter 14: MTLE Mathematics: Exponential & Logarithmic Functions
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.

How to Solve Exponential Equations

6. 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

7. 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.

How to Graph Logarithms: Transformations and Effects on Domain/Range

8. How to Graph Logarithms: Transformations and Effects on Domain/Range

The graph of a basic logarithm is relatively simple. This lesson will show you how to graph a logarithm and what the transformations will do to the graph as well as their effects on the domain and range of the graph.

Transformation of Exponential Functions: Examples & Summary

9. Transformation of Exponential Functions: Examples & Summary

All exponential functions follow a basic graph. But when you make changes to the function, you will see the graph shift and make changes. Watch this video lesson to learn how to easily identify these changes or transformations.

Using the Change-of-Base Formula for Logarithms: Definition & Example

10. Using the Change-of-Base Formula for Logarithms: Definition & Example

Logarithms have many uses in the real world. But what happens when the calculation uses a base other than the standard base 10? Watch this video to find out how to handle this situation and the formula to use.

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 MTLE Mathematics: Practice & Study Guide course