Prove that x(logy−logz)y(logz−logx)z(logx−logy)=1?
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x(1/y-1/z)y(1/z-1/x)z(1/x-1/y)
x(z-y/yz)y(x-z/zx)z(y-x/xy)
xyz/xyz=1
hence proved
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