Ch 23: OAE Mathematics: Exponential & Logarithmic Functions

About This Chapter

Complete the activities of this chapter to prepare for questions about exponent and logarithm functions on the OAE Mathematics exam. In doing so, review what you know about exponential growth and decay, logarithmic properties and graphical representations of exponential and logarithmic functions.

OAE Mathematics: Exponential & Logarithmic Functions - Chapter Summary

The material you will cover in this chapter can help improve your abilities working with exponential and logarithmic functions. To start your review, watch short and engaging lesson videos about evaluating logarithms, exponential and logarithmic equations and graphical representations of logarithms. These videos are taught by professional instructors who can answer any questions you may develop so that you will be prepared for questions on the Ohio Assessments for Educators (OAE) Mathematics about:

  • Evaluating exponential growth and decay
  • Logarithms
  • Properties of logarithms
  • Solving exponential and logarithmic equations
  • Graphing logarithms
  • Change-of-base formula for logarithms

After reviewing the lessons, take the quizzes to reinforce your understanding of the material and determine what areas you may want to go back to and review. Return to the videos with video tags that can take you directly to the spots where you need further help. If you need an alternative way of reviewing, try reading the lesson transcripts that present the same information.

OAE Mathematics: Exponential & Logarithmic Functions Chapter Objectives

OAE Mathematics is the computer-based certification exam used in the state of Ohio to certify math teachers. It is composed of 150 multiple-choice questions and is administered in a 4.25 hours testing session. Of the questions presented on this exam, you can expect about 24% to be about patterns, algebra and functions; this section may include questions on exponential and logarithmic functions. The videos and quizzes of this chapter have been compiled to help you improve your understanding of exponents and logarithms so that you well be able to perform well on these questions.

11 Lessons in Chapter 23: OAE 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!

Compounding Interest Formulas: Calculations & Examples

3. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

What is a Logarithm?

4. 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

5. 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

6. 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

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.

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

9. 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

10. 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

11. 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

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