Ch 17: ILTS Mathematics: Logarithmic Functions

About This Chapter

In order to get ready for questions on the ILTS Mathematics exam, use this chapter on logarithmic functions for a comprehensive but fun review. You'll have a chance to test your knowledge along the way with brief quizzes and a chapter exam.

ILTS Mathematics: Logarithmic Functions - Chapter Summary

Improve your ability to work with logarithmic functions by using the video lessons in this chapter. They will help you review ways to evaluate, solve and apply formulas to logarithms for the ILTS Mathematics exam. Use the lessons to review:

  • Characteristics and properties of logarithms
  • Inverse of logarithmic functions
  • Evaluating logarithms
  • Solving logarithmic equations and systems
  • Using the change-of-base formula
  • Basic and shifted graphs

Solving logarithmic problems on the exam won't be as difficult once you master the material in this chapter. Video lessons make learning and reviewing concepts easy, and the lesson quizzes allow you to test what you've studied. You also can get help from online instructors in case you get stuck on a certain principle or topic.

9 Lessons in Chapter 17: ILTS Mathematics: Logarithmic Functions
Test your knowledge with a 30-question chapter practice test
What is a Logarithm?

1. 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!

Writing the Inverse of Logarithmic Functions

2. Writing the Inverse of Logarithmic Functions

Watch this video lesson to learn how inverses are related to the original function. Also learn a method to find the inverse of logarithmic functions that you can easily use.

Logarithmic Properties

3. 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

4. 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 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.

Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples

6. Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples

Watch this video lesson and you will see what the basic graph of the logarithmic function looks like. You will also be able to identify the kind of shifts that will occur by just looking at a logarithmic function when you finish the video.

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 Solve Systems of Logarithmic Equations

8. How to Solve Systems of Logarithmic Equations

In this lesson you will learn some methods that can be used to solve systems of logarithmic equations. Learn how to solve these systems of equations both algebraically and graphically, and then practice your new skills!

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

9. 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.
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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