Precalculus Examples

$\log_{3} (x^{2} y^{4})$

Step 1

Rewrite $\log_{3} (x^{2} y^{4})$ as $\log_{3} (x^{2}) + \log_{3} (y^{4})$ .

$\log_{3} (x^{2}) + \log_{3} (y^{4})$

Step 2

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

$2 \log_{3} (x) + \log_{3} (y^{4})$

Step 3

Expand $\log_{3} (y^{4})$ by moving $4$ outside the logarithm.

$2 \log_{3} (x) + 4 \log_{3} (y)$