Find the solution set of in .
Remember the following rule of logarithms: for and ,
Firstly, we consider what values of the equation we need to solve is valid for: this equation is valid when both and , hence when . Now, to solve the equation we apply the multiplication rule for logarithms (stated above), then we solve for .
Since the equation is only valid when , the only solution to the equation is . Therefore, the solution set of the equation is .