First of all, greetings to the scientific community here at Physics Forums. The following set of equations is given: y^(x-3y) = x^2 x^(x-3y) = y^8 With the next assumption given: x-3y is unequal to (-4). My attempt was to isolate the y variable in both of the equations so that i will be able to devide the the equations and recieve a simple x^a = b equations. This did not help, because the powers of the x's included the y, with no option to get rid of it. I Would like your assistance with finding the shortest, most efficient, non-logarithmic way to solve this question, asap.