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.
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 | |
2. log2 3y | |
3. wlog 7 |
For more practice, play the The Logger Game. Follow the directions on the top of the page.