## Precalculus (6th Edition) Blitzer

$x=\displaystyle \frac{2}{3}$
$125^{x}=25\qquad$ ... recognize $125$ and $25$ as powers of $5$ $(5^{3})^{x} =5^{2}\qquad$ ... apply: $(a^{m})^{n}=a^{mn}$ $5^{3x}=5^{2}\qquad$... If $b^{M}=b^{N}$, then $M=N$ $3x=2\qquad$...$/\div 3$ $x=\displaystyle \frac{2}{3}$