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: 80

Answer

$-\dfrac {2}{3}$

Work Step by Step

$32^{2x}=16^{x-1}\Rightarrow \left( 25\right) ^{2x}=\left( 2^{4}\right) ^{x-1}\Rightarrow 2^{10x}=2^{4x-4}\Rightarrow 10x=4x-4\Rightarrow 6x=-4\Rightarrow x=-\dfrac {2}{3}$
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