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I'm curious if this is even possible to solve for D. D is the only variable, x, y, z, and w are all constants, and e is the mathematical constant e.

$$ (\frac{x+yD^{2}}{zD})^{\sqrt{2D}} = e^{\sqrt{w}} $$

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I'm also not sure which tags this falls under, so any suggestions of that would be great too. –  WOUNDEDStevenJones Aug 11 '12 at 5:21
I am nearly sure that there will not be a closed form ("formula") for the solution. Numerical methods are always available, and you may be able to find a formula that gives a good approximation for values of $D$ near a certain value. –  André Nicolas Aug 11 '12 at 5:33

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