# How do you solve # lnx+ln(x-2)=3#?

##### 2 Answers

We use the fact that

#### Explanation:

Hence we have that

The last is a trinomial with respect to x that has the following solutions

Now we must not forget that

Try this:

#### Explanation:

We can use the rule of the logs that says:

apply the definition of log (natural, with base

rearranging:

Use the Quadratic Formula to solve for

Now check whether the two solutions are allowed or not by substituting them into the original equation (you'll find that only one works).