Answer
$x=\displaystyle \frac{1}{2}$
Work Step by Step
Write $\sqrt[3]{2x}$ as $(2x)^{1/3}$
$(2x)^{1/3}=1\qquad $... cube both sides
$2x=1^{3}$
$2x=1$
$x=\displaystyle \frac{1}{2}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 78
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