I've run into a dead end trying to solve this equation and I was hoping that someone here might be able to point me in the right direction! 1. The problem statement, all variables and given/known data xlgx = x4/1000 2. Relevant equations - 3. The attempt at a solution xlgx = x4/1000 lg(xlgx) = lg(x4/1000) (lgx)2 = lg(x4) - lg(1000) (lgx)2 = 4lgx - 3 Now after this point I'm not sure what to do. I tried: 3 = 4lgx - (lgx)2 3 = lgx * (4 - lgx) But that doesn't seem to lead me anywhere. Any help would be much appreciated!