#### Answer

$x=25$

#### Work Step by Step

With $125=5^3$, the given equation is equivalent to:
$x^{3/2} = 5^3$
Raise both sides to the power $\frac{2}{3}$ to obtain:
$(x^{3/2})^{2/3} = (5^3)^{2/3}
\\x=5^{3 (\frac{2}{3})}
\\x=5^{2}
\\x=25$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$x=25$

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