在一次高三年级举行的月考中,有这样一道题:已知实数a>1,若函数y=a~(x/e)的图象与函数y=elog_ax的图象有两卟.不同的交点,则a的取值范围为____.考试结果出人意料,全年级500多人无一人答对.事实上,若令b=a~(1/e)>1,则y=a~(x/e)=b~x,y=elog_ax y=elog=log,x=log_bx,二者互为反函数且为增函数, There is such a problem in a monthly exam held in a high school year that the known real number a> 1, and if the image of the function y = a ~ (x / e) has two porphyries with the image of the function y = elog_ax, The intersection point, then the range of a is ____. The result of the exam is surprising, no one answers more than 500 people in the whole year. In fact, if let b = a ~ 1 / e> 1, y = a ~ x / e) = b ~ x, y = elog_ax y = elog = log, x = log_bx, both of which are inverse functions and are increasing functions,