Answer
$x = 2$
Work Step by Step
$3(6^{x}) + 2(6^{x}) = 180$
$(3+2)(6^{x}) = 180$
$5(6^{x}) = 180$
$6^{x} = 36$
$6^{x} = 6^{2}$
$x = 2$
Check:
$ 3(6^{x}) + 2(6^{x})$
$= 3(6^{2}) + 2(6^{2})$
$= 3(36) + 2(36)$
$= 108 + 72$
$= 180$
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: 53
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