Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises: 81

Answer

$-7$

Work Step by Step

$4^{x-2}=2^{3x+3}\Rightarrow \left( 2^{2}\right) ^{x-2}=2^{3x+3}\Rightarrow 2^{2x-4}=2^{3x+3}\Rightarrow 2x-4=3x+3\Rightarrow x=-7$
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