How to express x*2^(1/x)-x in CVX?

[Mark_L_Stone]

How to deal with the constraints "x(2^(1/x) - 1) <= C" via CVX

The CVX Users’ Guide is not very clear (i.e., is “wrong”) on the needed syntax for exponential cone constraint. { log(2), x, z } == exponential(1) will work. So altogether what is needed for the constraint is: variables x z { log(2), x, z } == exponential(1) z - x <= C

For further clarification: whether or not x*2^(1/x) is used in a constraint, use z in place of x*2^(1/x).