求值(log2 5+log4 1/5)(log5 2+log25 1/2)
2个回答
展开全部
(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
=(log2 5-log4 5)(log5 2-log25 2)
=(lg5/lg2-lg5/lg4)(lg2/lg5-lg2/lg25)
=1/2lg5/lg2*1/2lg2/lg5
=1/4
本回答被提问者采纳
已赞过
已踩过<
你对这个回答的评价是？
展开全部
(log2 5+log4 1/5)(log5 2+log25 1/2)
=[lg5/lg2-lg5/(2lg2)][lg2/lg5-lg2/(2lg5)]
=(1/2)(lg5/lg2)*(1/2)(lg2/log5)
=1/4
=[lg5/lg2-lg5/(2lg2)][lg2/lg5-lg2/(2lg5)]
=(1/2)(lg5/lg2)*(1/2)(lg2/log5)
=1/4
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
