# Could somebody solve this equation for me.

### Could somebody solve this equation for me.

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.
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### Re: Could somebody solve this equation for me.

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 $$f(x)= xe^x$$).[list=][/list]
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