Precalculus Examples

$\ln ({(x y z)}^{6})$

Step 1

Expand $\ln ({(x y z)}^{6})$ by moving $6$ outside the logarithm.

$6 \ln (x y z)$

Step 2

Rewrite $\ln (x y z)$ as $\ln (x y) + \ln (z)$ .

$6 (\ln (x y) + \ln (z))$

Step 3

Rewrite $\ln (x y)$ as $\ln (x) + \ln (y)$ .

$6 (\ln (x) + \ln (y) + \ln (z))$

Step 4

Apply the distributive property.

$6 \ln (x) + 6 \ln (y) + 6 \ln (z)$