Precalculus Examples

$6 x \ln (18)$

Step 1

Rewrite $\ln (18)$ as $\ln (2 \cdot 3^{2})$ .

$6 x \ln (2 \cdot 3^{2})$

Step 2

Rewrite $\ln (2 \cdot 3^{2})$ as $\ln (2) + \ln (3^{2})$ .

$6 x (\ln (2) + \ln (3^{2}))$

Step 3

Expand $\ln (3^{2})$ by moving $2$ outside the logarithm.

$6 x (\ln (2) + 2 \ln (3))$

Step 4

Apply the distributive property.

$6 x \ln (2) + 6 x (2 \ln (3))$

Step 5

Multiply $2$ by $6$ .

$6 x \ln (2) + 12 x \ln (3)$