(log252+log51/8)(log25+log4根5)求值

题目详情

(log25 2+log5 1/8)(log2 5+log4 根5)求值

▼优质解答

答案和解析

(log25 2+log5 1/8)(log2 5+log4 根5)
=[g2/(2lg5) -3lg2/lg5][lg5/lg2+lg5/(4lg2)]
=(-5/2)lg2/lg5*(5/4)lg5/lg2
=-25/8

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