Algebraic of a variable to itself

jzimmerm · Mar 14, 2007

I have been trying to solve algebraicly an equation of the following form for x with little success because x appears in the base and the exponent. Any help would be greatly appreciated.

a/b=(x/c)^x

A log approach only yields x*log(x/c)=log (a/b) which really doesn't get me anywhere.

Werg22 · Mar 14, 2007

Well, you won't go very far! This is impossible to solve algebraically.

HallsofIvy · Mar 14, 2007

Should be able to use the Lambert W function- it is defined as the inverse to the function xe^x.

Algebraic of a variable to itself

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Algebraic of a variable to itself

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