若x满足不等式2(log0.5x)∧2+7log0.5x+3≤0,则f(x)=log0.5(x/2)log0.5(x/4)的最大值?A.3 B.2 C.1 D.1/2

问题描述:

若x满足不等式2(log0.5x)∧2+7log0.5x+3≤0,则f(x)=log0.5(x/2)log0.5(x/4)的最大值?
A.3 B.2 C.1 D.1/2

由不等式可求出log2x的范围为大于1/2小于3
f(x)可化简为(log2x-3/2)^2-1/4 所以选择B