Precalculus Examples

$\log_{7} (x^{2} \cdot y^{3})$

Step 1

Rewrite $\log_{7} (x^{2} \cdot y^{3})$ as $\log_{7} (x^{2}) + \log_{7} (y^{3})$ .

$\log_{7} (x^{2}) + \log_{7} (y^{3})$

Step 2

Expand $\log_{7} (x^{2})$ by moving $2$ outside the logarithm.

$2 \log_{7} (x) + \log_{7} (y^{3})$

Step 3

Expand $\log_{7} (y^{3})$ by moving $3$ outside the logarithm.

$2 \log_{7} (x) + 3 \log_{7} (y)$