10 is not answer as it >e,this is clear on graph : one is y=(e^(1/e))^x, another is y=x
When a<e(1/e),there are two intersecting points: one<e(1/e),one>e(1/e). When a>e(1/e) ,no intersecting point,meaning ...divergence.when a=e^(1/e),only x=e.
Have a good weekend.