Expand the Logarithmic Expression natural log of (e^3)/11

$\ln (\frac{e^{3}}{11})$

Step 1

Rewrite $\ln (\frac{e^{3}}{11})$ as $\ln (e^{3}) - \ln (11)$ .

$\ln (e^{3}) - \ln (11)$

Step 2

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

$3 \ln (e) - \ln (11)$

Step 3

The natural logarithm of $e$ is $1$ .

$3 \cdot 1 - \ln (11)$

Step 4

Multiply $3$ by $1$ .

$3 - \ln (11)$