Precalculus Examples

$\ln (\frac{x}{x y})$

Step 1

Rewrite $\ln (\frac{x}{x y})$ as $\ln (x) - \ln (x y)$ .

$\ln (x) - \ln (x y)$

Step 2

Rewrite $\ln (x y)$ as $\ln (x) + \ln (y)$ .

$\ln (x) - (\ln (x) + \ln (y))$

Step 3

Apply the distributive property.

$\ln (x) - \ln (x) - \ln (y)$

Step 4

Subtract $\ln (x)$ from $\ln (x)$ .

$0 - \ln (y)$

Step 5

Subtract $\ln (y)$ from $0$ .

$- \ln (y)$