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计算(log以5为底√2*log以49为底81)/(log以25为底1/3*log以7为底3√4)
题目详情
计算(log以5为底√2*log以49为底81)/(log以25为底1/3*log以7为底3√4)
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答案和解析
原式
=(log以25为底2*log以49为底81)/(log以25为底1/3*log以49为底3√16)
=log以1/3为底2*log以3√16为底81
=(lg2/-lg3)*[4lg3/(4/3lg2)]
=-3
=(log以25为底2*log以49为底81)/(log以25为底1/3*log以49为底3√16)
=log以1/3为底2*log以3√16为底81
=(lg2/-lg3)*[4lg3/(4/3lg2)]
=-3
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