Precalculus Examples

$\log_{7} (x^{5} y^{4})$

Step 1

Rewrite $\log_{7} (x^{5} y^{4})$ as $\log_{7} (x^{5}) + \log_{7} (y^{4})$ .

$\log_{7} (x^{5}) + \log_{7} (y^{4})$

Step 2

Expand $\log_{7} (x^{5})$ by moving $5$ outside the logarithm.

$5 \log_{7} (x) + \log_{7} (y^{4})$

Step 3

Expand $\log_{7} (y^{4})$ by moving $4$ outside the logarithm.

$5 \log_{7} (x) + 4 \log_{7} (y)$