Answer
$x=\frac{1}{2}$
Work Step by Step
We are asked to solve:
$\log_{9}{3}=x$
Recall the definition of a logarithm (pg. 451):
$\log_{b}{x}=y$ iff $b^y=x$
Applying this definition to our equation (with $b=9, y=x, x=3$), we get:
$9^x=3$
Because we know that $\sqrt{9}=3$, or $9^{1/2}=3$:
$x=\frac{1}{2}$
We confirm that the answer works:
$\log_{9}{3}=1/2$
$9^{1/2}=3$
$3=3$
