解不等式log(0.5)(x2-5x-6)>log(2)(1/2(x+6))
问题描述:
解不等式log(0.5)(x2-5x-6)>log(2)(1/2(x+6))
答
log(0.5)(x²-5x-6)>log2(1/2(x+6))
log2[1/(x²-5x-6)]>log2[1/2(x+6)]
1/(x²-5x-6)>1/2(x+6)
x²-5x-6 x²-7x-18(x-9)(x+2) -2
(x-6)(x+1)>0
-1
x>-6
综合起来
-1