# How do you simplify log_4 16?

The answer is: $2$.
${\log}_{4} \left(16\right) = {\log}_{4} \left({4}^{2}\right) = 2 \cdot {\log}_{4} \left(4\right) = 2$.
The same count could be done easily remembering that we are searching for a number that put at the exponent of $4$ has the result of $16$. This is the definition of logarithmics