Nice exponent maths simplification || find value of x || maths Olympiad

Nice exponent maths simplification || find value of x || maths Olympiad
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Nice algebra maths simplification || find value of x
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A Nice square root simplification|| Simplify square root
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[@MickenCZProfi]

All these algebraic transformations appearing out of nowhere to solve it, and doesn't even find the other answer (x = 4, there are other ones probably, but not integer). Funny thing is, you could easily find both by spending like 3 hours learning programming, the computer you are watching this on makes it very easy.

[@IgweMatics]

But x could equally equally to 2 hope you are aware Cause instead if using the roots as you did i could use powers X⁸=16^x Reciprocating (simplify by reciprocating and exchange power) x^(1/x)=16^(1/8) But 16=2^4............(***) X^(1/x)=2^(4/8)=2^(1/2) X^(1/x)=2^½ Compare: _____ [X=2] --- But from (***) if we say let 16=4^2 Then you would be correct But in maths you are to give all solutions. Do not leave any part behind