Answer
$\{ -10.319\}$
Work Step by Step
$5^{x+2}=2^{2x-1} \longrightarrow (x+2)ln5=(2x-1)ln2 \longrightarrow (2ln2-ln5)x=ln5+ln2 \longrightarrow x=\frac{ln5+ln2}{2ln2-ln5}\approx-10.319$
or $\{ -10.319\}$
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 - Chapter 4 Test Prep - Review Exercises - Page 492: 44
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