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= log(x²/yz) + log(y²/zx) + log(z²/xy)
= log( (x²*y²*z²)/(yz*zx*xy) )
= log( (x²y²z²)/(x²y²z²) )
= log(1)
= 0.
You can see in attachment how (x²/yz) + (y²/zx) + (z²/xy) = 0.
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Answer is here
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