Calculus Examples

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

Step 1

Use logarithm rules to move $2 \ln (x)$ out of the exponent.

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

Step 2

Simplify $2 \ln (x)$ by moving $2$ inside the logarithm.

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

Step 3

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

$\ln (x^{2}) \cdot 1$

Step 4

Multiply $\ln (x^{2})$ by $1$ .

$\ln (x^{2})$