Your answer is certainly correct, but the first 3:35 is kind of redundant. You can recognize that 1 to the power anything (incl. x) is just 1, and let t=4^x right at the beginning. Then you can transform the original equation into 1+t=t^2 immediately, and then apply the quadratic formula.
Your answer is certainly correct, but the first 3:35 is kind of redundant. You can recognize that 1 to the power anything (incl. x) is just 1, and let t=4^x right at the beginning. Then you can transform the original equation into 1+t=t^2 immediately, and then apply the quadratic formula.