若0若0若0若01,故得a>0.(1)由log₂(2a-1)>0得2a-1>1,故得a>1.(2)由log₂(a+1)2},这就是a的取值范围.∵0∴log2﹙1﹚∵log2(x)在x∈(0,﹢∞)单调增,∴1综上a>2注:0=log2﹙1﹚利用对数函数单调性log2(x)在x∈(0,﹢∞)单调增则a+1>0 2a-1>0 1综上a>2
若0若01,故得a>0.(1)由log₂(2a-1)>0得2a-1>1,故得a>1.(2)由log₂(a+1)2},这就是a的取值范围.
∵0∴log2﹙1﹚∵log2(x)在x∈(0,﹢∞)单调增,∴1综上a>2注:0=log2﹙1﹚
利用对数函数单调性log2(x)在x∈(0,﹢∞)单调增则a+1>0 2a-1>0 1综上a>2