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For a^(2)+b^(2)+c^(2)=1 and a,b,c are po...

For `a^(2)+b^(2)+c^(2)=1` and a,b,c are positive, the greatest value of `a^(2)b^(3)c^(4)` is `2^(x)3^(y)` .Then the value of x is

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