Solve the sepereable D.E.

xdy = y*ln(y)dx , x = 2 , y = e

I started by dividing both sides by y*ln(y) and x to wind up with

dx/x = dy/(y*ln(y))

Then I go to integrate and end up with

ln(x) + C = ln(ln(y)) + C

And then I'm stuck. I'm entirely unsure of where to go with this. Any ideas? Thank you

- Charles