Calculus Examples

$\ln (2 x^{3} (x - 3))$

Step 1

Rewrite $\ln (2 x^{3} (x - 3))$ as $\ln (2 x^{3}) + \ln (x - 3)$ .

$\ln (2 x^{3}) + \ln (x - 3)$

Step 2

Rewrite $\ln (2 x^{3})$ as $\ln (2) + \ln (x^{3})$ .

$\ln (2) + \ln (x^{3}) + \ln (x - 3)$

Step 3

Expand $\ln (x^{3})$ by moving $3$ outside the logarithm.

$\ln (2) + 3 \ln (x) + \ln (x - 3)$