Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises: 35

Answer

$\dfrac {22}{5}=4.4$

Work Step by Step

$16^{x+4}=8^{3x-2}\Rightarrow \left( 2^{4}\right) ^{x+4}=\left( 2^{3}\right) ^{3x-2}\Rightarrow 2^{4x+16}=2^{9x-6}$ $4x+16=9x-6\Rightarrow 5x=22\Rightarrow x=\dfrac {22}{5}=4.4$
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