Precalculus Examples

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

Step 1

Rewrite $\ln (5 x^{2})$ as $\ln (5) + \ln (x^{2})$ .

$e (\ln (5) + \ln (x^{2}))$

Step 2

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

$e (\ln (5) + 2 \ln (x))$

Step 3

Apply the distributive property.

$e \ln (5) + e (2 \ln (x))$

Step 4

Move $2$ to the left of $e$ .

$e \ln (5) + 2 e \ln (x)$