Precalculus Examples

$\log_{6} (\frac{3 (x y)}{z})$

Step 1

Rewrite $\log_{6} (\frac{3 (x y)}{z})$ as $\log_{6} (3 (x y)) - \log_{6} (z)$ .

$\log_{6} (3 (x y)) - \log_{6} (z)$

Step 2

Remove parentheses.

$\log_{6} (3 x y) - \log_{6} (z)$

Step 3

Rewrite $\log_{6} (3 x y)$ as $\log_{6} (3 x) + \log_{6} (y)$ .

$\log_{6} (3 x) + \log_{6} (y) - \log_{6} (z)$

Step 4

Rewrite $\log_{6} (3 x)$ as $\log_{6} (3) + \log_{6} (x)$ .

$\log_{6} (3) + \log_{6} (x) + \log_{6} (y) - \log_{6} (z)$