Question

Solve:
[(1+(1/x)]^(x+1)=2.717602229679

Answer 1

even if you fix the mismatched parentheses, I don't see an easy algebraic way to solve this. You'd better use a graphical or numeric method. What tools do you have?

Answer 2

Try this:
(1+(1/x))^(x+1)=(2000/1999)^1999
Use any tools necessary.