Answer
$x = 4$
Work Step by Step
$5(3^{x}) - 4(3^{x}) = 81$
$(5-4)(3^{x}) = 81$
$1(3^{x}) = 81$
$3^{x} = 81$
$3^{x} = 3^{4}$
$x = 4$
Check:
$ 5(3^{x}) - 4(3^{x})$
$ = 5(3^{4}) - 4(3^{4})$
$= 5(81) - 4(81)$
$= 405 - 324$
$= 81$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 56
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
