Precalculus Examples

$\log (3 x^{6} y)$

Step 1

Rewrite $\log (3 x^{6} y)$ as $\log (3 x^{6}) + \log (y)$ .

$\log (3 x^{6}) + \log (y)$

Step 2

Rewrite $\log (3 x^{6})$ as $\log (3) + \log (x^{6})$ .

$\log (3) + \log (x^{6}) + \log (y)$

Step 3

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

$\log (3) + 6 \log (x) + \log (y)$