Consider the equation xln(x)= 1 for x≥1. In this problem, youare asked to show that this equation has a unique solution 1≤x<∞by completing both parts below. Note that you are not asked tofind this solution, just to show that it exists and that it isunique!
(a) Show that the equation has at least one solution x such that1≤x <∞.
(b) Show that the equation has at most one solution x such that1≤x <∞.
