How to plot functions of this form? $x^7-\sqrt y=$ constant +$\log(x)+e^y$ (of an equation between $x$ and $y$)

Question

I need to know how to plot any kind of equation between $x$ and $y$ without solving it for $y$. For example, for $x^2+y^2=1$ I need the plot without knowing that $y=\pm \sqrt {1-x^2}$.