In this lesson, you will learn how to determine the solution to an exponential equation using algebraic methods. To do this, you should be able to identify an exponential equation and you should understand the Power Property.

Let's review first.

8 = 2x

24 = x3

This is an exponential equation.

This is not an exponential equation.

24 = 5x2 − 3x + 2

3432x − 3 = 7x

This is not an exponential equation.

This is an exponential equation.

In your notes, write a description of an exponential equation.

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An exponential equation is an equation that has the variable in the exponent. Close Pop Up

Review of Properties of Logarithms

Product Property

logb (mn) = logb m + logb n

Quotient Property

 

Power Property

logb(mn) = n • logb m

Using the Power Property, write an equivalent statement for each of the following. Click on the links below to check your answers.
1. log 5x
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xlog5 Close Pop Up
2. log2 3y
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ylog23 Close Pop Up
3. wlog 7
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log7w Close Pop Up

For more practice, play the This activity might not be viewable on your mobile device. The Logger Game. Follow the directions on the top of the page.