Question

ln(x-1)+ln(x+2)=1

Answer 1

I think the first step is to use the ln properties:
ln(x-1)(x+2)=1

Answer 2

what you have to do here? solve for x?

Answer 3

yes

Answer 4

Then you can undo the natural log by putting them as powers of e.
(x-1)(x-2)=e
Then solve as you would any other equation.

Answer 5

x=1+e and x=e-2

Answer 6

Corrections to my solutions.
x is not equal to 1+e or e-2.
(x-1)(x-2)-e=0
I have to use the quadratic formula to solve.
x=1.728964295 and x=-2.728964295
Note the negative solution is extraneous (not valid).