# How do you calculate log_5 25?

May 9, 2016

$2$

#### Explanation:

$\log 5 \left(25\right)$ can be rewritten as
$\log 5 {\left(5\right)}^{2}$ which is further simplified by the laws of logarithm to
$2 \log 5 \left(5\right)$.

$\log 5 \left(5\right) = 1$
Hence,
$2 \log 5 \left(5\right) = 2 \cdot \left(1\right) = 2$