Answer
$3^x = 5 $ or $3^x=-5$
Work Step by Step
Note that $9=3^2$. Thus, $9^x=25$ is equivalent to:
$(3^2)^x=25$
Use the rule $(a^m)^n=a^{mn}$ to obtain:
$3^{2x} = 25$
Use the rule $a^{mn} = (a^m)^n$ to obtain:
$(3^x)^2=25$
Take the square root of both sides to obtain:
$\sqrt{(3^x)^2}=\pm \sqrt{25}
\\3^x = \pm \sqrt{5^2}
\\3^x = \pm 5$
Thus, $3^x = 5 $ or $3^x=-5$
