a^[log(a)b×log(b)c×log(c)N]求值

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a^[log(a)b×log(b)c×log(c)N]
求值

a^[log(a)b×log(b)c×log(c)N]
=a^[lgb/lga×lgc/lgb×lgN/lgc]
=a^(lgN/lga)
=a^(logaN)
=N