解不等式logx(2x+1)>logx(3-x)的解集

问题描述:

解不等式logx(2x+1)>logx(3-x)的解集

①x>1时,2x+1>3-x解得:x>2/3,所以x>1
②0<x<1时,2x+1<3-x解得:x<2/3,所以0<x<2/3
综上:x>1或0<x<2/3

①x>1时,2x+1>3-x解得:x>2/3,所以x>1
②0<x<1时,2x+1<3-x解得:x<2/3,所以0<x<2/3
综上:x>1或0<x<2/3