tentukan semua nilai x yang memenuhi 2^{x} + 2^{3-x} = 9

2^x + 2^(3-x) = 9
2^x + 8/2^x = 9, dikali 2^x
2^(2x) + 8 = 9.2^x
2^(2x) - 9.2^x + 8 = 0
2^x anggap P
P² - 9P + 8 =0
(P - 1)(P - 8) = 0
(2^x - 1)(2^x - 8) = 0
2^x = 1 → x = 0
2^x = 8 → x = 3
hp = {0, 3}