Answer
$x=4$
Work Step by Step
As $4=2^2$ and $8=2^3$, we can rewrite the equation as $(2^2)^{2x+1}=(2^3)^{3x-6}$. Thus, $2(2x+1)=3(3x-6)$ which gives $4x+2=9x-18$ and $5x=20$, $x=4$
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 - Quiz - Page 461: 2
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