Let f(X) = x1*(2^(c/x1)-1) + x2*(2^(c/x2)-1) + x3*(2^(c/x3)-1)

The function f(X) is convex because it represents the sum of a multiple convex functions.

We want to:

minimize f(X) = x1*(2^(c/x1)-1) + x2*(2^(c/x2)-1) + x3*(2^(c/x3)-1)

subject to

0<x1<1

0<x2<1

0<x3<1

x1+x2+x3=1

How to use CVX in order to get the solution of this convex problem?