If you haven't studied the Lambert w-function, then the only way to solve this is with technology, such as with a graphing calculator. Draw the graph of the left side and the graph of the right side , and find where they intersect They intersect at (-1.8414056604369606378...,2) and (1.1461932206205825852...,2) So the two solutions are approximately -1.8414056604369606378... and 1.1461932206205825852... Edwin