Ch 6: Exponentials and Logarithms in AP Calculus: Tutoring Solution

About This Chapter

The Exponentials and Logarithms chapter of this AP Calculus AB and BC Tutoring Solution is a flexible and affordable path to learning about exponentials and logarithms in AP calculus. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving exponentials and logarithms required in a typical AP calculus course.

How it works:

  • Begin your assignment or other AP calculus work.
  • Identify the exponentials and logarithms concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our AP calculus tutoring solution will benefit any student who is trying to learn about exponentials and logarithms for AP calculus and earn better grades. This resource can help students including those who:

  • Struggle with understanding exponential growth and decay, logarithmic evaluation, logarithmic properties, exponential functions or any other exponentials and logarithms in AP calculus topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their exponentials and logarithms in AP calculus unit
  • Cope with ADD or ADHD
  • Want to get ahead in AP calculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about exponentials and logarithms for AP calculus simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live calculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about exponentials and logarithms on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Define exponential functions.
  • Compare and contrast exponential growth and decay.
  • Define logarithms.
  • Evaluate logarithms.
  • List the properties of logarithms.
  • Solve exponential and logarithmic equations.

9 Lessons in Chapter 6: Exponentials and Logarithms in AP Calculus: Tutoring Solution
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 Evaluate Logarithms

4. 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

5. 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

6. 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

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.

Logarithmic Form: Converting & Overview

9. Logarithmic Form: Converting & Overview

Logarithmic form is useful when you want to solve for a variable in an exponent. In this lesson, you will learn how to change from exponential to logarithmic form.

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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