Answer
$x = 4$
Work Step by Step
$10(2^{x}) - 7(2^{x}) = 48$
$(10 - 7)(2^{x}) = 48$
$3(2^{x}) = 48$
$2^{x} = 16$
$2^{x} = 2^{4}$
$x = 4$
Check:
$ 10(2^{x}) - 7(2^{x})$
$= 10(2^{4}) - 7(2^{4})$
$= 10(16) - 7(16)$
$= 160 - 112$
$= 48$
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: 55
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