Precalculus Examples

$\log_{3} (x^{2} y z)$

Step 1

Rewrite $\log_{3} (x^{2} y z)$ as $\log_{3} (x^{2} y) + \log_{3} (z)$ .

$\log_{3} (x^{2} y) + \log_{3} (z)$

Step 2

Rewrite $\log_{3} (x^{2} y)$ as $\log_{3} (x^{2}) + \log_{3} (y)$ .

$\log_{3} (x^{2}) + \log_{3} (y) + \log_{3} (z)$

Step 3

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

$2 \log_{3} (x) + \log_{3} (y) + \log_{3} (z)$