Algebra Examples

$\log_{5} (12)$

Step 1

Rewrite $\log_{5} (12)$ as $\log_{5} (2^{2} \cdot 3)$ .

$\log_{5} (2^{2} \cdot 3)$

Step 2

Rewrite $\log_{5} (2^{2} \cdot 3)$ as $\log_{5} (2^{2}) + \log_{5} (3)$ .

$\log_{5} (2^{2}) + \log_{5} (3)$

Step 3

Expand $\log_{5} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{5} (2) + \log_{5} (3)$