I don't know of an analytical solution (I don't believe there is one -- if there is, please correct me). The solution depends on the value of k as follows: Fo

I don't know of an analytical solution (I don't believe there is one -- if there is, please correct me). The solution depends on the value of k as follows: For k<0, there is exactly one solution for x, 0<x<1. For 0<=k<e, there is no solution For k=e, we simply have x=e. For k>e, there are two solutions for x. Plot x/ln(x) on a graph and use numerical methods to find them.