STATEMENT-1 : If a^(x) = b^(y) = c^(z) ...

STATEMENT-1 : If ` a^(x) = b^(y) = c^(z) , ` where x,y,z are unequal positive numbers and a, b,c are in G.P. , then
` x^(3) + z^(3) gt 2y^(3)` and
STATEMENT-2 : If a, b,c are in H,P, ` a^(3) + c^(3) ge 2b^(3)` , where a, b, c are positive real numbers .

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