Precalculus Examples

$\log_{r} (\frac{3}{2 x})$

Step 1

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

$\log_{r} (3) - \log_{r} (2 x)$

Step 2

Rewrite $\log_{r} (2 x)$ as $\log_{r} (2) + \log_{r} (x)$ .

$\log_{r} (3) - (\log_{r} (2) + \log_{r} (x))$

Step 3

Apply the distributive property.

$\log_{r} (3) - \log_{r} (2) - \log_{r} (x)$