I need to solve an equation of this form:
NSolve[a + x^b + PolyLog[c, x] + PolyLog[d, 1/x] == 0, x]
Where $a, b, c, d$ are constants.
For the sake of simplicity we can make $a = b = c = d$. Ok I know that with no chosen variables, the question is basically impossible but besides that, what I would like to get is a sort of plot in function of those constant, in a range let's say from $-3$ to $+5$ each one.
But then another problem would arise: having the plot, let's say for $a = b = c = d = 2$, how can I ask Mathematica to give me the numerical solution of the above equation? Solve seems not working!