问题
填空题
不等式log
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答案
满足log0.5(x2-2x-15)>log0.5(x+13),
得x2-2x-15<x+13 x2-2x-15>0 x+13>0
解得:-4<x<-3,或5<x<7,
则不等式log
(x2-2x-15)>log1 2
(x+13)的解集为 (-4,-3)∪(5,7)1 2
故答案为:(-4,-3)∪(5,7).
不等式log
|
满足log0.5(x2-2x-15)>log0.5(x+13),
得x2-2x-15<x+13 x2-2x-15>0 x+13>0
解得:-4<x<-3,或5<x<7,
则不等式log
(x2-2x-15)>log1 2
(x+13)的解集为 (-4,-3)∪(5,7)1 2
故答案为:(-4,-3)∪(5,7).