计算(log25+log40.2)(log52+log250.5)

来源:百度知道 编辑:UC知道 时间:2024/09/24 22:39:57
计算
(log25+log40.2)(log52+log250.5)

=(log2,5+log2^2,0.2)(log5,2+log5^2,0.5)
=(log2,5+0.5log2,0.2)(log5,2+0.5log5,0.5)
=(log2,5+log2,根号5/5)(log5,2+log5,根号2/2)
=log2,根号5•log5,根号2
=log2,5^0.5•log5,2^0.6
=lg5^0.5/lg2•lg2^0.5/lg5
=0.5•0.5
=0.25我也刚刚做这个闲着无聊百度下结果都不靠谱看你这么痛苦就帮你一下

(log2 5+log4 1/5)(log5 2+log25 1/2)
=(log2 5-log4 5)(log5 2-log25 2)
=(lg5/lg2-lg5/lg4)(lg2/lg5-lg2/lg25)
=1/2lg5/lg2*1/2lg2/lg5
=1/4

额,这个问题没人回答,好恐怖。。。