2^X + 2^(X+1) = 4^X + 4(X+1) //Original problem 2^X(1 + 2) = 4^X(1 + 4) //Time to factor! 2^x(3) = 4^X(5) //Simplify (2^X) = 3/5 //Simplify and divide log(3/5) = xlog2 //log it! x = log(3/5)/(log(2))