Precalculus Examples

$\log (7 x^{3} y z)$

Step 1

Rewrite $\log (7 x^{3} y z)$ as $\log (7 x^{3} y) + \log (z)$ .

$\log (7 x^{3} y) + \log (z)$

Step 2

Rewrite $\log (7 x^{3} y)$ as $\log (7 x^{3}) + \log (y)$ .

$\log (7 x^{3}) + \log (y) + \log (z)$

Step 3

Rewrite $\log (7 x^{3})$ as $\log (7) + \log (x^{3})$ .

$\log (7) + \log (x^{3}) + \log (y) + \log (z)$

Step 4

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

$\log (7) + 3 \log (x) + \log (y) + \log (z)$