Answer
$$x=38$$
Work Step by Step
Solving the equation by isolating $x$, we find:
$$\left(\left(x-2\right)^{\frac{3}{2}}\right)^2=216^2\\ \left(x-2\right)^3=46656\\ x=38$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 10 Counting Methods and Probability - 10.2 Use Combinations and the Binomial Theorem - 10.2 Exercises - Mixed Review - Page 697: 59
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