Precalculus Examples

$\ln^{2} (2 (3 e^{x}))$

Step 1

Multiply $3$ by $2$ .

$\ln^{2} (6 e^{x})$

Step 2

Rewrite $\ln (6 e^{x})$ as $\ln (6) + \ln (e^{x})$ .

${(\ln (6) + \ln (e^{x}))}^{2}$

Step 3

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

${(\ln (6) + x \ln (e))}^{2}$

Step 4

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

${(\ln (6) + x \cdot 1)}^{2}$

Step 5

Multiply $x$ by $1$ .

${(\ln (6) + x)}^{2}$