Hey Sujank, You are looking for an algeraic solution, which is not possible for such type of equaiton. You have to solve them numerically as done by some of them above. The right answer is 2 and 4. To solve it numerically you plot x (say from 0.1 to 5 in steps of 0.1) and y= logx/x-log2/2. And you find the place where the curve has a zero value, since y=0 gives the equation you need to solve. So dont bang your head to find an exact numerical solution.