# How do you solve #log (x + 3) = log (6) - log (2x-1)#?

##### 1 Answer

#### Explanation:

I'm assuming that all the

First of all, let's compute the domain of the logarithmic expressions.

For the first one,

For the last one, we get

As the second condition is the more restrictive one, we can assume that the domain is

Now, in order to "get rid" of the logarithmic expressions, it is necessary to simplify the terms on the right-hand side.

To do so, remember the logarithmic rule:

In our case, it means:

Now, due to the fact that for

... multiply both sides with

This is a quadratic equation that can be solved e. g. with the quadratic formula:

Here,

The solution

So, we have just one solution:

Hope that this helped!