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log [x^(2x)] = log [x^(x²+2x)] ; x > 0
log [x^(2x)] = log [x^(x²)] + log [x^(2x)]
log [x^(2x)] - log [x^(2x)] = log [x^(x²)]
log 1 = log [x^(x²)]
1 = x^(x²)
x = 1
HP = { x | x = 1 }