Precalculus Examples

$\log (\frac{A B C}{C})$

Step 1

Rewrite $\log (\frac{A B C}{C})$ as $\log (A B C) - \log (C)$ .

$\log (A B C) - \log (C)$

Step 2

Rewrite $\log (A B C)$ as $\log (A B) + \log (C)$ .

$\log (A B) + \log (C) - \log (C)$

Step 3

Rewrite $\log (A B)$ as $\log (A) + \log (B)$ .

$\log (A) + \log (B) + \log (C) - \log (C)$

Step 4

Subtract $\log (C)$ from $\log (C)$ .

$\log (A) + \log (B) + 0$

Step 5

Add $\log (A)$ and $0$ .

$\log (A) + \log (B)$