Answer
$x=4^{2 / 3}$
Work Step by Step
$$
\begin{aligned}
2 x^{3 / 2}-1& =7 \\
2 x^{3 / 2} & =8 \\
x^{3 / 2} & =4 \\
\left( x^{3 / 2}\right)^{2 / 3}& =(4)^{2 / 3} \\
x& =4^{2 / 3}\\
\end{aligned}
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Skill Refresher - Page 75: S10
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