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The sixth term in the expansion of [sq...

The sixth term in the expansion of
`[sqrt({2^(log(10-3^(x)))})+5sqrt({2^((x-2)log3)})]^(m)` is equal to 21, if it is know that the binomial coefficient of the `2^(nd), 3^(nd)` and `4^(th)` terms in the expansion represents, respectively, the first, third and fifth terms of an A.P. (the symbol log stand for logarithm tothe base 10). The minimum of expansion is

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