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If log(2^(1/x))(x^(1/n))+log(2^(1/(x-1))...

If `log_(2^(1/x))(x^(1/n))+log_(2^(1/(x-1)))(x^(1/(n-1)))+...+log_(2^(1/x))(x^(1/2))+log_2 x=8` then x can be equal to .......(where x and n are both positive integers).

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