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: 38

Answer

$\approx 2.269$

Work Step by Step

$2^{x+3}=5^{x}\Rightarrow 8\times 2^{x}=5^{x}\Rightarrow \left( \dfrac {5}{2}\right) ^{x}=8\Rightarrow x=\log _{\frac {5}{2}}8\approx 2.269$
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