Expand the Logarithmic Expression natural log of (e^2)/5

$\ln (\frac{e^{2}}{5})$

Step 1

Rewrite $\ln (\frac{e^{2}}{5})$ as $\ln (e^{2}) - \ln (5)$ .

$\ln (e^{2}) - \ln (5)$

Step 2

Expand $\ln (e^{2})$ by moving $2$ outside the logarithm.

$2 \ln (e) - \ln (5)$

Step 3

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

$2 \cdot 1 - \ln (5)$

Step 4

Multiply $2$ by $1$ .

$2 - \ln (5)$