Precalculus Examples

$\ln (\frac{2 π}{3 q})$

Step 1

Rewrite $\ln (\frac{2 π}{3 q})$ as $\ln (2 π) - \ln (3 q)$ .

$\ln (2 π) - \ln (3 q)$

Step 2

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

$\ln (2) + \ln (π) - \ln (3 q)$

Step 3

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

$\ln (2) + \ln (π) - (\ln (3) + \ln (q))$

Step 4

Apply the distributive property.

$\ln (2) + \ln (π) - \ln (3) - \ln (q)$