求不等式a2x-7>a4x-1(a>0,且a≠1)中x的取值范圍.
求不等式a2x-7>a4x-1(a>0,且a≠1)中x的取值范圍.
數(shù)學人氣:316 ℃時間:2019-10-19 12:41:54
優(yōu)質(zhì)解答
由a2x-7>a4x-1知需要進行分類,具體情況如下:當a>1時,∵y=ax在定義域上遞增,∴2x-7>4x-1,解得x<-3;當0<a<1時,∵y=ax在定義域上遞減,∴2x-7<4x-1,解得x>-3;綜上得,當a>1時,x的取值范圍為(-∞,-...
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