Precalculus Examples

$\log_{6} (x^{4} y^{2} z)$

Step 1

Rewrite $\log_{6} (x^{4} y^{2} z)$ as $\log_{6} (x^{4} y^{2}) + \log_{6} (z)$ .

$\log_{6} (x^{4} y^{2}) + \log_{6} (z)$

Step 2

Rewrite $\log_{6} (x^{4} y^{2})$ as $\log_{6} (x^{4}) + \log_{6} (y^{2})$ .

$\log_{6} (x^{4}) + \log_{6} (y^{2}) + \log_{6} (z)$

Step 3

Expand $\log_{6} (x^{4})$ by moving $4$ outside the logarithm.

$4 \log_{6} (x) + \log_{6} (y^{2}) + \log_{6} (z)$

Step 4

Expand $\log_{6} (y^{2})$ by moving $2$ outside the logarithm.

$4 \log_{6} (x) + 2 \log_{6} (y) + \log_{6} (z)$