Can anybody solve this equation for x?

 

 

[math]y=\frac{-ln(1-x)}{\sqrt{1-x^2}}[/math]

 

the best I can do is to rearrange to this:

 

[math]ln\frac{1}{1-x}-y\sqrt{2-2x-(1-x)^2}=0[/math]

 

and then take the roots numerically using the mathway website. Any help is much appreciated!

 

Seeing that combination of logarithm, square root, and powers of x, I very much doubt that it can be solved algebraically.

Seeing that combination of logarithm, square root, and powers of x, I very much doubt that it can be solved algebraically.

Thanks HallsofIvy, I'm not much of a mathematician myself, but I've put this to other maths people IRL and they've said the same thing.