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: 33

Answer

$\dfrac {2}{3}$

Work Step by Step

$x=\log _{4}\sqrt [3] {16}\Rightarrow 4^{x}=\sqrt [3] {16}\Rightarrow 4^{x}=\sqrt [3] {4^{2}}\Rightarrow 4^{x}=4^{\dfrac {2}{3}}\Rightarrow x=\dfrac {2}{3}$
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