Ch 12: Exponentials and Logarithms in Math: Help and Review

About This Chapter

The Exponentials and Logarithms in Math chapter of this SAT Mathematics Level 2 Help and Review course is the simplest way to master exponentials and logarithms. 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 exponentials and logarithms for the SAT exam.

Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

  • Students who have fallen behind in understanding how to solve exponential and logarithmic equations
  • 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 exponentials and logarithms for the SAT
  • 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 Exponentials and Logarithms in Math 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 Exponentials and Logarithms in Math chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any exponentials and logarithms question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in an exponentials and logarithms unit of a standard math course. Topics covered include:

  • Exponential functions
  • Exponential growth and decay
  • Methods for solving exponential equations
  • Logarithmic properties
  • Methods for solving logarithmic equations

8 Lessons in Chapter 12: Exponentials and Logarithms in Math: Help and Review
Test your knowledge with a 30-question chapter practice test
What Is an Exponential Function?

1. What Is an Exponential Function?

Exponential functions have a constant base with an independent variable that is an exponent, such as y = ab^x. Learn more about functions with exponents and find two examples that demonstrate the way exponential functions appear on graphs.

Exponential Growth vs. Decay

2. Exponential Growth vs. Decay

Exponential growth and decay are the results of a continuous pattern of numbers found in exponential fractions. Learn more about the differences between exponential growth and exponential decay, and learn how to solve more complex problems by determining a starting value.

What is a Logarithm?

3. What is a Logarithm?

Using logarithms is simply a different way of evaluating exponential expressions. Discover how exponents work together with logarithms and learn what logarithm notation looks like and how to use it by solving example problems.

How to Evaluate Logarithms

4. How to Evaluate Logarithms

With the understanding that logarithms are the inverse operation of exponentials, it is possible to explore various ways to evaluate logarithms. Uncover logarithmic form, learn the difference between log base 10 and natural log, and discover the change of base formula for evaluating logarithms.

Logarithmic Properties

5. Logarithmic Properties

Including the change of base property, there are four logarithmic properties that allow logs to be manipulated for mathematical applications. Learn why the product and quotient properties require splitting an equation in two and how the power property is used to manipulate exponents.

Practice Problems for Logarithmic Properties

6. Practice Problems for Logarithmic Properties

Logarithmic properties can help in evaluating a log or in condensing a long and complicated log into something that is smaller and more manageable. Use the logarithmic properties of product, power, and quotient to solve practice problems that require expanding, condensing, and evaluating logs.

How to Solve Exponential Equations

7. How to Solve Exponential Equations

Exponential equations typically have a variable in the exponent that must be solved, which is done by using a logarithmic function. Learn how to use logarithmic functions, such as the natural logarithm with a base of e, or Euler's number, to solve exponential equations.

How to Solve Logarithmic Equations

8. How to Solve Logarithmic Equations

Solving logarithmic equations comes down to exponentiating, which is a process that undoes logarithms. Learn how to exponentiate when logs are on the same side of an equals sign and when they are on either side.

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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More Exams
There are even more practice exams available in Exponentials and Logarithms in Math: Help and Review.
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