Question 690977

ln(x-6)+ln(x+5)=ln42

ln[(x-6)(x+5)] = ln42
(x-6)(x+5) = 42
x^2+5x-6x-30 = 42
x^2-x-30 = 42
x^2-x-72 = 0
(x+8)(x-9) = 0
x = {-8, 9}
The negative solution is extraneous throw it out leaving:
x = 9
or, to the nearest thousandth:
x = 9.00