Precalculus Examples

$\log (x^{5} y^{2} z^{2})$

Step 1

Rewrite $\log (x^{5} y^{2} z^{2})$ as $\log (x^{5} y^{2}) + \log (z^{2})$ .

$\log (x^{5} y^{2}) + \log (z^{2})$

Step 2

Rewrite $\log (x^{5} y^{2})$ as $\log (x^{5}) + \log (y^{2})$ .

$\log (x^{5}) + \log (y^{2}) + \log (z^{2})$

Step 3

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

$5 \log (x) + \log (y^{2}) + \log (z^{2})$

Step 4

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

$5 \log (x) + 2 \log (y) + \log (z^{2})$

Step 5

Expand $\log (z^{2})$ by moving $2$ outside the logarithm.

$5 \log (x) + 2 \log (y) + 2 \log (z)$