5.4 Solving Exponential and Logarithmic Equations

Multiple Choice

Write the logarithmic equation in exponential form.

log₇9 = y

• 7^y = 9

• 9^y = 7

• 7⁹ = y

• 9⁷ = y

Multiple Choice

Write the logarithmic equation in exponential form.

log_x32 = 8

• x⁸ = 32

• 32^x = 8

• 8³² = x

• 32⁸ = x

Multiple Choice

Write the logarithmic equation in exponential form.

log₅y = 86

• 5⁸⁶ = y

• 86^y = 5

• y⁸⁶ = 5

Unit 5: Exponential and Logarithmic Functions​
5.4 Solving Exponential and Logarithmic Equations



1. log=# Type Problem when given the base.

​Example 1:

​Steps:
1. Rewrite in exponential form.
2. Guess and Check for the exponent or evaluate the exponent.

​Example 2:

​Example 3:

Fill in the Blanks

Solve the log equation. Enter the value of x without spaces or x=.

Fill in the Blanks

Solve the log equation. Enter the value of x without spaces or x=.

Fill in the Blanks

Solve the log equation. Enter the value of x without spaces or x=.