Answer
$x=\displaystyle \frac{1}{3}$
Work Step by Step
For $x\gt 0$ and $a$, a positive constant other than 1,
$\log_{a}x$ is the exponent to which $a$ must be raised in order to get $x$.
Thus, $\log_{a}x=m$ means $a^{m}=x$
Here, $\log_{3}x=-1\ \ $ means$\ \ 3^{-1}=x$,
and the negative exponent is interpreted as $a^{-n}=\displaystyle \frac{1}{a^{n}}$, so
$x=\displaystyle \frac{1}{3}$
