4.[单选题]设(图1)-|||-.=(log )_(a)(x)^2 .=(log )_(4)3 。=(0.3)^-1 则ab,d的大小关系是-|||-图1-|||-(点击图片可以查看大图)-|||-A. lt blt c-|||-B. lt clt b-|||-C. lt blt a-|||-D. lt alt c

由对数函数的性质可知 $a={\log }_{\dfrac {1}{3}}4\lt {\log }_{\dfrac {1}{3}}1=0$ $b={\log }_{4}3\gt {\log }_{4}1=0$ 且 $b={\log }_{4}3\lt {\log }_{4}4=1$ $c={0.3}^{3}=0.027$ $\therefore a\lt c\lt b$ 故选B