## Precalculus (6th Edition)

$x=25$
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: $(x^{3/2})^{2/3} = (5^3)^{2/3} \\x=5^{3 (\frac{2}{3})} \\x=5^{2} \\x=25$