Calculus Examples

$\ln (\frac{5 y}{3 z})$

Step 1

Rewrite $\ln (\frac{5 y}{3 z})$ as $\ln (5 y) - \ln (3 z)$ .

$\ln (5 y) - \ln (3 z)$

Step 2

Rewrite $\ln (5 y)$ as $\ln (5) + \ln (y)$ .

$\ln (5) + \ln (y) - \ln (3 z)$

Step 3

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

$\ln (5) + \ln (y) - (\ln (3) + \ln (z))$

Step 4

Apply the distributive property.

$\ln (5) + \ln (y) - \ln (3) - \ln (z)$