I'm trying to decipher what general principals generalize all elementary functions.
Does the following hold?:
All elementary functions $y = f(x)$ are a solution an equation of the form $P(x,e^x,\ln(x),y) = Q(x,e^x,\ln(x))$?
Because if you have just $x,$ you have all algebraic equations to start with encapsulated as being solutions to $P(y) = Q(x).$