Precalculus Examples

$\log_{c} (x^{3} y^{4} z)$

Step 1

Rewrite $\log_{c} (x^{3} y^{4} z)$ as $\log_{c} (x^{3} y^{4}) + \log_{c} (z)$ .

$\log_{c} (x^{3} y^{4}) + \log_{c} (z)$

Step 2

Rewrite $\log_{c} (x^{3} y^{4})$ as $\log_{c} (x^{3}) + \log_{c} (y^{4})$ .

$\log_{c} (x^{3}) + \log_{c} (y^{4}) + \log_{c} (z)$

Step 3

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

$3 \log_{c} (x) + \log_{c} (y^{4}) + \log_{c} (z)$

Step 4

Expand $\log_{c} (y^{4})$ by moving $4$ outside the logarithm.

$3 \log_{c} (x) + 4 \log_{c} (y) + \log_{c} (z)$