Precalculus Examples

$\log_{2} (\frac{2 π}{7 k})$

Step 1

Rewrite $\log_{2} (\frac{2 π}{7 k})$ as $\log_{2} (2 π) - \log_{2} (7 k)$ .

$\log_{2} (2 π) - \log_{2} (7 k)$

Step 2

Rewrite $\log_{2} (2 π)$ as $\log_{2} (2) + \log_{2} (π)$ .

$\log_{2} (2) + \log_{2} (π) - \log_{2} (7 k)$

Step 3

Logarithm base $2$ of $2$ is $1$ .

$1 + \log_{2} (π) - \log_{2} (7 k)$

Step 4

Rewrite $\log_{2} (7 k)$ as $\log_{2} (7) + \log_{2} (k)$ .

$1 + \log_{2} (π) - (\log_{2} (7) + \log_{2} (k))$

Step 5

Apply the distributive property.

$1 + \log_{2} (π) - \log_{2} (7) - \log_{2} (k)$