Precalculus Examples

$\ln (2 x e^{2})$

Step 1

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

$\ln (2 x) + \ln (e^{2})$

Step 2

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

$\ln (2) + \ln (x) + \ln (e^{2})$

Step 3

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

$\ln (2) + \ln (x) + 2 \ln (e)$

Step 4

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

$\ln (2) + \ln (x) + 2 \cdot 1$

Step 5

Multiply $2$ by $1$ .

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