Trigonometry Examples

$\log_{7} (52)$

Step 1

Rewrite $\log_{7} (52)$ as $\log_{7} (2^{2} \cdot 13)$ .

$\log_{7} (2^{2} \cdot 13)$

Step 2

Rewrite $\log_{7} (2^{2} \cdot 13)$ as $\log_{7} (2^{2}) + \log_{7} (13)$ .

$\log_{7} (2^{2}) + \log_{7} (13)$

Step 3

Expand $\log_{7} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{7} (2) + \log_{7} (13)$