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How to solve for the equation $ax \exp(bx)=c$? It is known that $x\geq 0$.

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Solving this equation requires the Lambert W-function, which when applied to c gives the solution for a=b=1. Barring trivial cases, I don't think there's any easier way to derive it.

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    @Sergei: Why not ask a new question?2011-12-04