Precalculus Examples

$\log (z^{5} x y^{3})$

Step 1

Rewrite $\log (z^{5} x y^{3})$ as $\log (z^{5} x) + \log (y^{3})$ .

$\log (z^{5} x) + \log (y^{3})$

Step 2

Rewrite $\log (z^{5} x)$ as $\log (z^{5}) + \log (x)$ .

$\log (z^{5}) + \log (x) + \log (y^{3})$

Step 3

Expand $\log (z^{5})$ by moving $5$ outside the logarithm.

$5 \log (z) + \log (x) + \log (y^{3})$

Step 4

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

$5 \log (z) + \log (x) + 3 \log (y)$