Precalculus Examples

$\log (\frac{1}{m} \cdot m)$

Step 1

Rewrite $\log (\frac{1}{m} \cdot m)$ as $\log (\frac{1}{m}) + \log (m)$ .

$\log (\frac{1}{m}) + \log (m)$

Step 2

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

$\log (1) - \log (m) + \log (m)$

Step 3

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

$0 - \log (m) + \log (m)$

Step 4

Subtract $\log (m)$ from $0$ .

$- \log (m) + \log (m)$

Step 5

Add $- \log (m)$ and $\log (m)$ .

$0$