Calculus Examples

$\log_{9} (\frac{9 p}{11 k})$

Step 1

Rewrite $\log_{9} (\frac{9 p}{11 k})$ as $\log_{9} (9 p) - \log_{9} (11 k)$ .

$\log_{9} (9 p) - \log_{9} (11 k)$

Step 2

Rewrite $\log_{9} (9 p)$ as $\log_{9} (9) + \log_{9} (p)$ .

$\log_{9} (9) + \log_{9} (p) - \log_{9} (11 k)$

Step 3

Logarithm base $9$ of $9$ is $1$ .

$1 + \log_{9} (p) - \log_{9} (11 k)$

Step 4

Rewrite $\log_{9} (11 k)$ as $\log_{9} (11) + \log_{9} (k)$ .

$1 + \log_{9} (p) - (\log_{9} (11) + \log_{9} (k))$

Step 5

Apply the distributive property.

$1 + \log_{9} (p) - \log_{9} (11) - \log_{9} (k)$