I want to know if there's a way of saying: "The price that sets the output of a function equal to a constant" in a way that resembles $\arg \max$.
What I'm trying to express is close to saying: "x is part of the set of arguments that maximize a function", except I'm looking for an $x$ that solves an equality, not a maximization problem.
I came up with the following: $$ \hat{p} \in \{p|k=f(p)\} $$ But I'm looking for something that resembles $\hat{p} \in \arg \text{ } eq$. Does such a thing exist?