## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 5 - Exponential Functions - Chapter Review Exercises: 18

#### Answer

$x=-5$

#### Work Step by Step

Isolate the exponential term on one side. Then make the base of the right side equal to the base of the left side. Then set the exponents equal to each other. $(\frac{1}{4})^x=1024$ $(\frac{1}{4})^x=(\frac{1}{4})^{-5}$ $x=-5$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.