# How do you solve #log_4(3x-2)-log_4(4x+1)=2#?

##### 1 Answer

Jul 9, 2016

This answer can be verified by substituting in the original equation

#### Explanation:

The first thing we need to do is to write 2 as a

With logs, the terms must either be all as logs, or all as numbers, not a combination.

If we are subtracting the logs, we must have been dividing the numbers. It is possible to condense two log terms into one using the log laws.

Now because there is one term on each side, the terms which we are finding logs of, must be equal to each other. Drop the logs.