Answer
$x=12$
Work Step by Step
$(x-4)^{2/3}+1=5$ Substracting 1 from both sides
$(x-4)^{2/3}=4$ Taking the $\frac{2}{3}$ root of both sides
$(x-4)=4^{3/2}=\sqrt[2] {64}=8$
$x=8+4=12$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 0 - Section 0.2 - Exponents and Radicals - Exercises - Page 17: 120
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