I have tried to solve the following equation but unfortunately couldn't managed to do it. This is the simplest form it gets: (a/x)+lnx=b How can I find x? Is there a similar function that I can use to simplify it?

this equation has no algebraic solution. Problems of this type are solved by graphing and/or using numerical techniques. So any numeric solution depends on the values of a and b - which must be supplied before anything else can be determined.