Expand the Logarithmic Expression log base 5 of 10

$\log_{5} (10)$

Step 1

Rewrite $\log_{5} (10)$ as $\log_{5} (2 (5))$ .

$\log_{5} (2 (5))$

Step 2

Rewrite $\log_{5} (2 (5))$ as $\log_{5} (2) + \log_{5} (5)$ .

$\log_{5} (2) + \log_{5} (5)$

Step 3

Logarithm base $5$ of $5$ is $1$ .

$\log_{5} (2) + 1$