Answer
$x=4$
Work Step by Step
Use base $2$, $16=2^4, 8=2^3$, we have $(2^4)^{2x+1}=(2^3)^{3x}$, thus $8x+4=9x$ and $x=4$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Test - Page 496: 13
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