How to show sublevel sets of a quasiconvex function as its convex inequalities?

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I want to represent the quasiconvex function $$f(t)=a e^{-b e^{-c (t-d)}}$$ as a family of convex inequalities to use in its feasible convex programming.

I know that the point of inflection is at $x=d,y=a/e$ and the function is twice differentiable if I'm right. And is there any procedure that I can run on any quasiconvex function for this purpose?

Thanks