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旧 2021-04-24, 17:42   #1
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默认 A Famous Equation, x^2 = 2^x - Cleve Moler on Mathematics and Computing


A recent episode of the popular YouTube channel "blackpenredpen" is about solutions to the famous equation

x^2 = 2^x

You should be able to see two solutions yourself, x = 2 and x = 4, because 2^2 = 2^2 and 4^2 = 2^4.

This post is about a third solution.

ContentsTwo graphsThe negative solutionLogarithmLambertWMany digitsFixed pointsThanksCodeTwo graphsThe figure shows the graphs of x^2 and 2^x and



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