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已知f(X)=1+logx3,g(X)=2log3(x>0,x不等于1),比较fx与gx大小
人气:429 ℃ 时间:2020-03-29 02:37:44
解答
y=1+log(x)3-2log(x)2
=log(x)x+log(x)3-log(x)4
=log(x)(3x/4)
当1>x>0时,3x/40,即1+log(x)3>2logx2
当4/3>x>1时,3x/40,即1+log(x)3>2logx2
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