Calculus Examples

$\ln (\frac{2 y}{3 z})$

Step 1

Rewrite $\ln (\frac{2 y}{3 z})$ as $\ln (2 y) - \ln (3 z)$ .

$\ln (2 y) - \ln (3 z)$

Step 2

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

$\ln (2) + \ln (y) - \ln (3 z)$

Step 3

Rewrite $\ln (3 z)$ as $\ln (3) + \ln (z)$ .

$\ln (2) + \ln (y) - (\ln (3) + \ln (z))$

Step 4

Apply the distributive property.

$\ln (2) + \ln (y) - \ln (3) - \ln (z)$