Answer
$x=3$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $log_{x}27=3$ is equivalent to $x^{3}=27$.
Now, take the cube root of both sides of $x^{3}=27$.
$\sqrt[3] (x^{3})=\sqrt[3] 27$
$x=3$
