log8 (log2 4根号2)的值是是log8*(log(2 4根号2))

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 01:46:16

log8 (log2 4根号2)的值是是log8*(log(2 4根号2))
log8 (log2 4根号2)的值
是是log8*(log(2 4根号2))

log8 (log2 4根号2)的值是是log8*(log(2 4根号2))
4根号2是2^(5/2)
原式=log8(5/2)
=log2(5/2)/log2 8
=(log2 5-1)/3
这才是正确答案,呵呵

是log2 8*[log2 4*2^(1/2)]吗?

4根号2即2^(1/4),所以 (log2 4根号2)=log2^(5/4)=(5/4)log2
log8*(5/4)lg2=log(10log2)=log10+log(log2)

(log2 5-1)/3