Exponential - quadratic equation

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Tom83B
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Homework Statement



2n=n2

Homework Equations





The Attempt at a Solution



I know the solution is 2 and 4. But I have no idea how to solve it without guessing...
 

Discussion

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Try looking at the LambertW function :) There's actually a third solution apart from the two you already found, its about -0.767
 

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