Is there an analytic solution? If not, why so?

?

All this tells me is that

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- Jul 29th 2009, 09:15 PMVonNemo19A bit of an exponential pickle.

Is there an analytic solution? If not, why so?

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All this tells me is that - Jul 29th 2009, 10:24 PMearboth
I didn't check your calculations but from the last equation you know that :

is positive

Therefore the denominator of the fraction must be**negative**

EDIT:

Probably you have noticed that your last equation can't be used to solve it for x because you have the variable on both sides of the equation.

I "solved" (using Newton's method) the equation:

and I got 2 real approximate results: