Precalculus Examples

$\log (\frac{3}{2 x})$

Step 1

Rewrite $\log (\frac{3}{2 x})$ as $\log (3) - \log (2 x)$ .

$\log (3) - \log (2 x)$

Step 2

Rewrite $\log (2 x)$ as $\log (2) + \log (x)$ .

$\log (3) - (\log (2) + \log (x))$

Step 3

Apply the distributive property.

$\log (3) - \log (2) - \log (x)$