化简,log(5)35+2log(1/2)√2 - log(5)1/50 - log(5)14

问题描述:

化简,log(5)35+2log(1/2)√2 - log(5)1/50 - log(5)14
注意:括号里的为真数,(√2)这个是 根号2
1个回答 分类:数学 2014-11-06

问题解答:

我来补答
log(5)35+2log(1/2)√2 - log(5)1/50 - log(5)14
=log5(35÷1/50÷14)+2log(1/2)(2^1/2)
=log5(125)+2log(1/2)[(1/2)^-1/2]
=3log5(5)-2*(-1/2)log1/2(1/2)
=3+1
=4
 
 
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