Precalculus Examples

$\log (\frac{{(7 - x)}^{5}}{y^{2} + 7})$

Step 1

Rewrite $\log (\frac{{(7 - x)}^{5}}{y^{2} + 7})$ as $\log ({(7 - x)}^{5}) - \log (y^{2} + 7)$ .

$\log ({(7 - x)}^{5}) - \log (y^{2} + 7)$

Step 2

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

$5 \log (7 - x) - \log (y^{2} + 7)$