Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises: 21

Answer

$\dfrac {1}{2}$

Work Step by Step

$\log _{x}\left( \dfrac {1}{32}\right) =5\Rightarrow x^{5}=\left( \dfrac {1}{32}\right) \Rightarrow x^{5}=\left( \dfrac {1}{2}\right) ^{5}\Rightarrow x=\dfrac {1}{2}$
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