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Is there a way to solve for $x$ given the function: $y= 3^x-2^x$ in terms of $y$?

I tried a lot of algebraic manipulations but I ended up nothing. Or, should we say it it impossible to do so?

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    any positive real numbers2012-03-09

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There is no expression for $x$ in closed form as an elementary function of $y$.

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    Not that I know of. But I could be wrong - not every function is my personal friend.2012-03-09