A Cubic Log

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Having 20 is too convenient. How about log(sqrt(2) - x)? Can this equation be solved analytically?

ArgentMind
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20 - x = x^log²x
x^log²x + x = 20

logx = u => x = 10ᵘ

10^u³ + 10ᵘ = 20

by inspection u = 1
x = 10ᵘ => *x = 10*

SidneiMV