Precalculus Examples

$\log (\frac{1}{x y})$

Step 1

Rewrite $\log (\frac{1}{x y})$ as $\log (1) - \log (x y)$ .

$\log (1) - \log (x y)$

Step 2

Logarithm base $10$ of $1$ is $0$ .

$0 - \log (x y)$

Step 3

Subtract $\log (x y)$ from $0$ .

$- \log (x y)$

Step 4

Rewrite $\log (x y)$ as $\log (x) + \log (y)$ .

$- (\log (x) + \log (y))$

Step 5

Apply the distributive property.

$- \log (x) - \log (y)$