I'm curious to understand why there are such equations that cannot be solved with elementary methods, but rather only numerically.(adsbygoogle = window.adsbygoogle || []).push({});

e.g. [tex]2^x=x^2[/tex]

Is there a proof that claims that elementary methods cannot be used to solve such an equation, or is it that there could quite possibly be methods to solve these, but they are too complicated and yet to be discovered?

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# Solving non-elementary functions

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