考点3 对数函数性质的应用(2018天津卷(理)已知alog2e,bln 2,clog1213,则a,b,c的大小关系为()AabcBbacCcbaDcab【解析】clog1213log23log2ea,即cA又bln 21log2e1log2ea,即aB所以caB故选D【答案】D (2018全国卷(理)设alog0.20.3,blog20.3,则()Aabab0 Babab0Cab0abDab0ab【解析】alog0.20.3log0.210,blog20.3log210,ab0.a+bab1a1blog0.30.2log0.32log0.30.4,1log0.30.3log0.30.4log0.310,0a+bab1,abab0.【答案】B