Question

如果log_a2＜log_b2＜0,则(    )

A.0＜a＜b＜1                             B.0＜b＜a＜1

C.a＞b＞1                                D.b＞a＞1

Answer 1

解析：∵log_a2＜0,log_b2＜0,∴0＜a＜1,0＜b＜1.

由此可知log₂a＜0,log₂b＜0.

∵log_a2＜log_b2＜0,即＜0,同乘以log₂alog₂b,由不等式性质可知＜0,则0＜b＜a＜1.故选B项.

答案：B