Precalculus Examples

$\log_{6} (\frac{6 π}{5 k})$

Step 1

Rewrite $\log_{6} (\frac{6 π}{5 k})$ as $\log_{6} (6 π) - \log_{6} (5 k)$ .

$\log_{6} (6 π) - \log_{6} (5 k)$

Step 2

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

$\log_{6} (6) + \log_{6} (π) - \log_{6} (5 k)$

Step 3

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

$1 + \log_{6} (π) - \log_{6} (5 k)$

Step 4

Rewrite $\log_{6} (5 k)$ as $\log_{6} (5) + \log_{6} (k)$ .

$1 + \log_{6} (π) - (\log_{6} (5) + \log_{6} (k))$

Step 5

Apply the distributive property.

$1 + \log_{6} (π) - \log_{6} (5) - \log_{6} (k)$