Calculus Examples

$\log_{7} (\frac{7 p}{3 k})$

Step 1

Rewrite $\log_{7} (\frac{7 p}{3 k})$ as $\log_{7} (7 p) - \log_{7} (3 k)$ .

$\log_{7} (7 p) - \log_{7} (3 k)$

Step 2

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

$\log_{7} (7) + \log_{7} (p) - \log_{7} (3 k)$

Step 3

Logarithm base $7$ of $7$ is $1$ .

$1 + \log_{7} (p) - \log_{7} (3 k)$

Step 4

Rewrite $\log_{7} (3 k)$ as $\log_{7} (3) + \log_{7} (k)$ .

$1 + \log_{7} (p) - (\log_{7} (3) + \log_{7} (k))$

Step 5

Apply the distributive property.

$1 + \log_{7} (p) - \log_{7} (3) - \log_{7} (k)$