Calculus Examples

$\log_{3} (\frac{3 p}{5 k})$

Step 1

Rewrite $\log_{3} (\frac{3 p}{5 k})$ as $\log_{3} (3 p) - \log_{3} (5 k)$ .

$\log_{3} (3 p) - \log_{3} (5 k)$

Step 2

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

$\log_{3} (3) + \log_{3} (p) - \log_{3} (5 k)$

Step 3

Logarithm base $3$ of $3$ is $1$ .

$1 + \log_{3} (p) - \log_{3} (5 k)$

Step 4

Rewrite $\log_{3} (5 k)$ as $\log_{3} (5) + \log_{3} (k)$ .

$1 + \log_{3} (p) - (\log_{3} (5) + \log_{3} (k))$

Step 5

Apply the distributive property.

$1 + \log_{3} (p) - \log_{3} (5) - \log_{3} (k)$