Answer: [tex](e,1)[/tex]
Step-by-step explanation:
Given
[tex]\ln x=\dfrac{e}{x}[/tex]
It can be written as [tex]y=\ln x[/tex] and [tex]y=\dfrac{e}{x}[/tex]
Plot these two curves to see the point of intersection
They intersect at [tex]x=e\ or\ 2.718,\ y=1[/tex]
So, the solution is [tex](e,1)[/tex]