Expand the Logarithmic Expression log of 1/100

$\log (\frac{1}{100})$

Step 1

Rewrite $\log (\frac{1}{100})$ as $\log (1) - \log (100)$ .

$\log (1) - \log (100)$

Step 2

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

$0 - \log (100)$

Step 3

Logarithm base $10$ of $100$ is $2$ .

$0 - 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

$0 - 2$

Step 5

Subtract $2$ from $0$ .

$- 2$