Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises: 72

Answer

$\dfrac {1}{3}$

Work Step by Step

$125^{x}=5\Rightarrow \left( 5^{3}\right) ^{x}=5^{1}\Rightarrow 5^{3x}=5^{1}\Rightarrow 3x=1\Rightarrow x=\dfrac {1}{3}$
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