Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Apply the distributive property.

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