Ch 2: Evaluating Exponential and Logarithmic Functions: Help and Review

About This Chapter

The Evaluating Exponential and Logarithmic Functions chapter of this Precalculus Help and Review course is the simplest way to master evaluating exponential and logarithmic functions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of evaluating exponential and logarithmic functions.

Who's it for?

Anyone who needs help learning or mastering precalculus material will benefit from taking this course. There is no faster or easier way to learn precalculus. Among those who would benefit are:

  • Students who have fallen behind in understanding how to evaluate exponential and logarithmic functions
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about evaluating exponential and logarithmic functions
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Evaluating Exponential and Logarithmic functions chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Evaluating Exponential and Logarithmic Functions chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any evaluating exponential and logarithmic functions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll find the answers to questions including:

  • What are exponential functions?
  • What is the difference between exponential growth and decay?
  • What is a logarithm?
  • How do I graph logarithms?
  • How do I evaluate logarithms?
  • What are some basic logarithmic properties?
  • How do I solve exponential equations?
  • How do I solve logarithmic equations?

10 Lessons in Chapter 2: Evaluating Exponential and Logarithmic Functions: Help and Review
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 Graph Logarithms: Transformations and Effects on Domain/Range

4. 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.

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.

Practice Problems for Logarithmic Properties

7. 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

8. 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

9. 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.

Power Series: Formula & Examples

10. Power Series: Formula & Examples

A power series gives us what we call an infinite polynomial on our variable x and can be used to define a wide variety of functions. Learn the definition of power series as well as several examples of functions that can be described by them.

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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