Precalculus Examples

$\log_{2} ({(x y)}^{10})$

Step 1

Expand $\log_{2} ({(x y)}^{10})$ by moving $10$ outside the logarithm.

$10 \log_{2} (x y)$

Step 2

Rewrite $\log_{2} (x y)$ as $\log_{2} (x) + \log_{2} (y)$ .

$10 (\log_{2} (x) + \log_{2} (y))$

Step 3

Apply the distributive property.

$10 \log_{2} (x) + 10 \log_{2} (y)$