# How do you evaluate log 12 – log 3?

Mar 17, 2018

$\log 4 = 0.602$

#### Explanation:

If you are subtracting the logs of two numbers, it means that the numbers were being divided,

Change two log terms into one:

$\log 12 - \log 3$

$= \log \left(\frac{12}{3}\right)$

$= \log 4$

This is as far as you can go without a calculator or tables.

$\log 4 = 0.602$