Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Apply the distributive property.

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