Algebra Examples

Expand $\log (\frac{3 x}{2 y})$

Step 1

Rewrite $\log (\frac{3 x}{2 y})$ as $\log (3 x) - \log (2 y)$ .

$\log (3 x) - \log (2 y)$

Step 2

Rewrite $\log (3 x)$ as $\log (3) + \log (x)$ .

$\log (3) + \log (x) - \log (2 y)$

Step 3

Rewrite $\log (2 y)$ as $\log (2) + \log (y)$ .

$\log (3) + \log (x) - (\log (2) + \log (y))$

Step 4

Apply the distributive property.

$\log (3) + \log (x) - \log (2) - \log (y)$