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about 1.5595. You can only solve this with special methods like Lambert functions and Newton method. It is transcendental and best solved by trial and error until you home in using a calculator, spread sheet, or logarithms. Mathematically x^x = 2 or xlogx = log2 = 0.3010

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8y ago

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The real solution is approximately 1.55961. There are also additional complex solutions; check the Wolfram Alpha site if you want more detail (input: x^x = 2)

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8y ago
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It is 1.5596, approx.

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8y ago
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Q: What number to the power of itself equals 2?
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