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Fie x,y,z∈(0,1) sau x, y, z∈ (1, ∞). Aratati ca
[tex]\frac{log_{x}z }{x+z} +\frac{log_{y}x }{x+y} +\frac{log_{z}y }{y+z} \geq \frac{9}{2(x+y+z)}[/tex]