Converting implicit function to explicit

[JulieK]

I have an implicit function [e.g. $x+\frac{ln(y)}{y^2}=0$)]. Is there any mathematical trick/technique that can convert this to an explicit function (i.e. $y=f(x)$) even within certain restrictions and conditions.

 

[Mark44]

I have an implicit function [e.g. $x+\frac{ln(y)}{y^2}=0$)]. Is there any mathematical trick/technique that can convert this to an explicit function (i.e. $y=f(x)$) even within certain restrictions and conditions.

I don't believe so. It would be simple to write as x = g(y), though. What's wrong with that?