(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32的N次方根

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(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32的N次方根

(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32的N次方根
(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32的N次方根

(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32的N次方根
不知道是不是图片上的这个意思.

log2^n 3^n=log2 3,log9 32=5/2log3 2,
(log2 3+log4 9+log8 27+...+log2^n 3^n)log9 32=[nlog2 3]*[5/2log3 2]=5n/2
原式=(5n/2)^(1/n)