Precalculus Examples

$\log_{a} (x^{6} y^{3}) + \frac{x^{4}}{y^{12}}$

Step 1

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

$\log_{a} (x^{6}) + \log_{a} (y^{3}) + \frac{x^{4}}{y^{12}}$

Step 2

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

$6 \log_{a} (x) + \log_{a} (y^{3}) + \frac{x^{4}}{y^{12}}$

Step 3

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

$6 \log_{a} (x) + 3 \log_{a} (y) + \frac{x^{4}}{y^{12}}$