log以3为底2的对数+log以9为底2的对数的和,乘以,log以4为底3的对数+log 以8为底3的对数的和,的积
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[log(3,2)+log(9,2)]*[log(4,3)+log(8.3)]
=[log(3,2)+1/3log(3,2)]*[2log(2,3)+3log(2,3)]
=4/3log(3,2)*5log(2,3)
=4/3*5*1
=20/3
=[log(3,2)+1/3log(3,2)]*[2log(2,3)+3log(2,3)]
=4/3log(3,2)*5log(2,3)
=4/3*5*1
=20/3
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追问
2log(2,3)=log(4,3不对吧
追答
额。。。写错了
[log(3,2)+log(9,2)]*[log(4,3)+log(8.3)]
=[log(3,2)+1/3log(3,2)]*[1/2log(2,3)+1/3log(2,3)]
=4/3log(3,2)*5/6log(2,3)
=4/3*5/6*1
=20/18
=10/9
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展开全部
楼上写错了
[log(3,2)+log(9,2)]*[log(4,3)+log(8.3)]
=[log(3,2)+1/2log(3,2)]*[1/2log(2,3)+1/3log(2,3)]
=3/2log(3,2)*5/6log(2,3)
=3/2*5/6*1
=15/12
=5/4
[log(3,2)+log(9,2)]*[log(4,3)+log(8.3)]
=[log(3,2)+1/2log(3,2)]*[1/2log(2,3)+1/3log(2,3)]
=3/2log(3,2)*5/6log(2,3)
=3/2*5/6*1
=15/12
=5/4
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