Could somebody solve this equation for me.

[Guest]

Every program I have used keeps showing the numerical solution (5.92516...) but I want it to be an exact term (Possibly someting with e involved).

Here is the equation:


n/log(n) = (n/log(n))^n * e^(-n)


Thank you.

[Guest]

An equation like that, with the unknown in both base and exponent, cannot be solved in any elementary way. You might be able to find a way using "Lambert's W function", https://mathworld.wolfram.com/LambertW-Function.html, (defined as the inverse function to [tex]f(x)= xe^x[/tex]).[list=][/list]