191问答库 > ln（1+x）＜0 x等于多少

ln（1+x）＜0 x等于多少

2025-03-16 00:31:43
推荐回答（5个）
回答1：

ln(1+x)1+x<1
x<0
又1+x>0，x>-1
∴-1

回答2：

0=ln1
所以0＜1+x＜1得
-1＜x＜0。

回答3：

1+x >0
x>-1 (1)
//
ln(1+x) <0
1+x < e^0
x<0 (2)
//
ln(1+x) <0
=>
(1) and (2)
x>-1 and x<0
-1

回答4：

0<1+x<1
-1

回答5：

对数有意义，1+x>0
x>-1
ln(1+x)<0
ln(1+x)1+x<1
x<0
综上， 得-1不等式的解集为(-1，0)

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