问题标题:
(log23+log49+log827+...+log2^n3^n)log932的N次方根
问题描述:
(log23+log49+log827+...+log2^n3^n)log932的N次方根
黄东斌回答:
log49=2lg3/2lg2=lg3/lg2=log23
log23+log49+log827+...+log2^n3^n
=nlog23=nlg3/lg2
log932的N次方根
(log23+log49+log827+...+log2^n3^n)log932的N次方根=(1/n)(5lg2/2lg3)*nlg3/lg2
=5/2