How do you solve # lnx+ln(x-2)=3#?
We use the fact that
Hence we have that
The last is a trinomial with respect to x that has the following solutions
Now we must not forget that
We can use the rule of the logs that says:
apply the definition of log (natural, with base
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).