Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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