How to solve Cannot perform the operation: {concave} .* {convex}

Nonconvex
1

Dear All

Do I solve this optimization problem in CVX?

w = 10^6;
g = 1;
b = 10^6;
s = 10^(-15);
cvx_begin
variables p1 p2 
minimize 1 - (p1 + p2)
subject to
w - (-b*inv_pos((p2*g + s)*log(2)))*rel_entr(p2*g + s, p1*g + p2*g + s) <= 0;
p1 >= p2
cvx_end
2

inv_pos((p2*g + s)*rel_entr(p2*g + s, p1*g + p2*g + s)
simplifies to
log((p2*g + s)/(p1*g + p2*g + s))
which is neither convex nor concave. So I believe the first constraint, and therefore the optimization problem, are not convex,