log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}
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log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}
log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}
log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}
首先
x^2-5x-6>0
得 x>6或x0
得 x>-6
所以-6log(1/2)(2(x+6))
因为以1/2为底的对数是减函数
所以x^2-5x-6
log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}
原式等价为:1/(x^2-5x-6)<1/[2(x+6)]
原式等价为:1/(x^2-5x-6)-1/[2(x+6)]<0
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log(1/2)(x^2-5x-6)>log2{1/[2(x+6)]}