Precalculus Examples

$\log_{5} (\frac{5 π}{11 k})$

Step 1

Rewrite $\log_{5} (\frac{5 π}{11 k})$ as $\log_{5} (5 π) - \log_{5} (11 k)$ .

$\log_{5} (5 π) - \log_{5} (11 k)$

Step 2

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

$\log_{5} (5) + \log_{5} (π) - \log_{5} (11 k)$

Step 3

Logarithm base $5$ of $5$ is $1$ .

$1 + \log_{5} (π) - \log_{5} (11 k)$

Step 4

Rewrite $\log_{5} (11 k)$ as $\log_{5} (11) + \log_{5} (k)$ .

$1 + \log_{5} (π) - (\log_{5} (11) + \log_{5} (k))$

Step 5

Apply the distributive property.

$1 + \log_{5} (π) - \log_{5} (11) - \log_{5} (k)$