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对数运算(log2(5)+log4(0.2))*(log5(2)+log25(0.5))
题目详情
对数运算
(log2(5)+log4(0.2))*(log5(2)+log25(0.5))
(log2(5)+log4(0.2))*(log5(2)+log25(0.5))
▼优质解答
答案和解析
(log2 5+log4 0.2)(log5 2+log25 0.5)
=log2 5*log5 2+log5 2*log4 0.2+log2 5*log25 0.5+log4 0.2*log25 0.5)
=1-1/2-1/2+1/4=1/4
=log2 5*log5 2+log5 2*log4 0.2+log2 5*log25 0.5+log4 0.2*log25 0.5)
=1-1/2-1/2+1/4=1/4
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