ln×+ln(×-2)=1
ln{x(x-2)} = 1
ln{x(x-2)} = ln(e)
x(x - 2) = e
x^2 - 2x - e = 0
Now use the quadratic formula, x = (-b +/- sqrt(b^2 - 4ac))/(2a), where a = 1, b = -2, c = -e.
i.e. x = (2 +/- sqrt(4 - 4*1*(-e))) / (2*1)
x = (2 +/- 2*sqrt(1 + e)) / 2
x = 1 +/- sqrt(1 + e)