Answer
{$\frac{1}{3}$}
Work Step by Step
For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $x=log_{27}3$ means the same as $27^{x}=3$.
We know that $x=\frac{1}{3}$, because $27^{\frac{1}{3}}=\sqrt[3] 27=3$.