解不等式log1/2(x^2-3x)大于(-2)

问题描述:

解不等式log1/2(x^2-3x)大于(-2)

log1/2(x^2-3x)>-2
0<x^2-3x<4
x^2-3x>0
x(x-3)>0
x>3 or x<0
x^2-3x<4
x^2-3x-4<0
(x-4)(x+1)<0
-1<x<4
所以-1<x<0 or 3<x<4