# Let x in(1,oo) and n be a positive integer greater than 1. If f_n (x) =n/(1/log_2x+1/log_3x+...+1/log_nx) , then (n!)^(f_n (x))equals to

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Let x in(1,oo) and n be a positive integer greater than 1. If f_n (x) =n/(1/log_2x+1/log_3x+...+1/log_nx) , then (n!)^(f_n (x))equals to
A. n^(x)
B. x^(n)
C. n^(n)
D. n^(nx)

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