tech math

ln (5x-6) = ln18 - ln (x-3)
ln (5x-6) = ln (18/(x-3))
5x-6 = 18/(x-3)
(5x-6)(x-3) = 18
5x^2 -21x +18 = 18
x(5x-21) = 0
x = 0 or 21/5

BUT (5x-6) and (x-3) cannot be negative
So x>6/5 and x>3, x>3
So x can only be 21/5.