Precalculus Examples

$\log_{c} (x^{9} y^{6} z)$

Step 1

Rewrite $\log_{c} (x^{9} y^{6} z)$ as $\log_{c} (x^{9} y^{6}) + \log_{c} (z)$ .

$\log_{c} (x^{9} y^{6}) + \log_{c} (z)$

Step 2

Rewrite $\log_{c} (x^{9} y^{6})$ as $\log_{c} (x^{9}) + \log_{c} (y^{6})$ .

$\log_{c} (x^{9}) + \log_{c} (y^{6}) + \log_{c} (z)$

Step 3

Expand $\log_{c} (x^{9})$ by moving $9$ outside the logarithm.

$9 \log_{c} (x) + \log_{c} (y^{6}) + \log_{c} (z)$

Step 4

Expand $\log_{c} (y^{6})$ by moving $6$ outside the logarithm.

$9 \log_{c} (x) + 6 \log_{c} (y) + \log_{c} (z)$