Ch 12: Exponentials and Logarithms in Math: Help and Review
About This Chapter
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

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.

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.

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.

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.

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.

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.

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.

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.
Earning College Credit
Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Other Chapters
Other chapters within the SAT Mathematics Level 2: Help and Review course
- Basic Math Review: Help and Review
- Square Roots: Help and Review
- Basic Algebraic Expressions in Math: Help and Review
- Exponents in Math: Help and Review
- Linear Equations & Inequalities in Algebra: Help and Review
- Absolute Value Equations & Inequalities: Help and Review
- Polynomials in Algebra: Help and Review
- Functions in Math: Help and Review
- Rational Expressions in Algebra: Help and Review
- Matrices: Help and Review
- Sequences and Series in Math: Help and Review
- Complex Numbers in Math: Help and Review
- Coordinate Geometry Basics: Help and Review
- Graphing Linear Equations & Inequalities: Help and Review
- Advanced Coordinate Geometry: Help and Review
- Three-Dimensional Geometry: Help and Review
- Overview of Trigonometry: Help and Review
- Probability, Combinations & Permutations: Help and Review
- Working with Data & Statistics: Help and Review
- Logic: Help and Review
- Limits in Math: Help and Review