Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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