Algebra Examples

$\log_{4} (\frac{x}{3 y})$

Step 1

Rewrite $\log_{4} (\frac{x}{3 y})$ as $\log_{4} (x) - \log_{4} (3 y)$ .

$\log_{4} (x) - \log_{4} (3 y)$

Step 2

Rewrite $\log_{4} (3 y)$ as $\log_{4} (3) + \log_{4} (y)$ .

$\log_{4} (x) - (\log_{4} (3) + \log_{4} (y))$

Step 3

Apply the distributive property.

$\log_{4} (x) - \log_{4} (3) - \log_{4} (y)$