Algebra Examples

$\ln (e^{3 x})$

Step 1

Use logarithm rules to move $3 x$ out of the exponent.

$3 x \ln (e)$

Step 2

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

$3 x \cdot 1$

Step 3

Multiply $3$ by $1$ .

$3 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$