Answer
See explanations.
Work Step by Step
By definition $log_5(27)=x$ means $5^x=27$, that is the logarithm is the exponent needed to raise the power of a base $5$ to get $27$.
As $log_5(27)=\frac{log(27)}{log(5)}$, we can use a calculator to evaluate $log(27)$ and $log(5)$ individually, then take the ratio.