化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5))(还要追问,不懂的朋友请不要复制回答)

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化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5))(还要追问,不懂的朋友请不要复制回答)

化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5))(还要追问,不懂的朋友请不要复制回答)
化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5))
(还要追问,不懂的朋友请不要复制回答)

化简(log(2)(5)+log(4)(0.2))(log(5)(2)+log(25)(0.5))(还要追问,不懂的朋友请不要复制回答)
[log(2)(5)+log(4)(0.2)] [log(5)(2)+log(25)(0.5)]
=(lg5/lg2+lg0.2/2lg2) (lg2/lg5+lg0.5/2lg5)
=[(lg25+lg0.2)/2lg2] [(lg4+lg0.5)/2lg5
=(lg5/2lg2)(lg2/2lg5)
=1/4