Precalculus Examples

$\log_{6} (6 x y)$

Step 1

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

$\log_{6} (6 x) + \log_{6} (y)$

Step 2

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

$\log_{6} (6) + \log_{6} (x) + \log_{6} (y)$

Step 3

Logarithm base $6$ of $6$ is $1$ .

$1 + \log_{6} (x) + \log_{6} (y)$