Equation with log LN

[parisse]

Yes, it's not possible to solve this equation numerically, because the singularity of the logarithm that will raise the crossing will not appear numerically. The solution near 1 (or -1) verifies x^2-100 is almost -99, therefore ln(x^2-1) is almost -99, and x is about sqrt(1+exp(-99)) i.e. about 1+exp(-99)/2, the difference with 1 is 5e-44. And with floats, 1+5e-44==1.