对数计算1.{log(4)(3)+ log(8) (3)} X {log(3)(2)+log(9)(2)}2.{log(

问题描述:

对数计算
1.{log(4)(3)+ log(8) (3)} X {log(3)(2)+log(9)(2)}
2.{log(2)(3)} X {log(3)(4)+log(9)(2)}
3.(lg2)^+1g2X 1g5 +1g50
1个回答 分类:数学 2014-11-13

问题解答:

我来补答
1.
[log4(3) + log8(3)]×[log3(2) + log9(2)]
= [(1/2)·log2(3) + (1/3)·log2(3)]·[log3(2) +(1/2)· log3(2)]
= (5/6)·log2(3)·(3/2)log3(2)
= [(5/6)·(3/2)]·[log2(3)·log3(2)]
= (5/4)·(1)
= 5/4
2.
log2(3)× [log3(4) + log9(2)]
= log2(3)·[2·log3(2) + (1/3)·log3(2)]
= log2(3)·[(7/3)·log3(2)]
= (7/3)[log2(3)·log3(2)]
= 7/3
3.请输入正确的格式
 
 
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