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 - Page 445: 22

Answer

$\dfrac {3}{4}$

Work Step by Step

$\log _{x}\left( \dfrac {27}{64}\right) =3\Rightarrow x^{3}=\dfrac {27}{64}\Rightarrow x^{3}=\left( \dfrac {3}{4}\right) ^{3}\Rightarrow x=\dfrac {3}{4}$
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