Precalculus Examples

$\log_{8} (5^{6} \cdot 7^{2})$

Step 1

Rewrite $\log_{8} (5^{6} \cdot 7^{2})$ as $\log_{8} (5^{6}) + \log_{8} (7^{2})$ .

$\log_{8} (5^{6}) + \log_{8} (7^{2})$

Step 2

Expand $\log_{8} (5^{6})$ by moving $6$ outside the logarithm.

$6 \log_{8} (5) + \log_{8} (7^{2})$

Step 3

Expand $\log_{8} (7^{2})$ by moving $2$ outside the logarithm.

$6 \log_{8} (5) + 2 \log_{8} (7)$