2.4^x + 2^3-2× = 17 tentukan nilai 2^2x....

2.4^x + 2^(3-2x) = 17
2(2²)^x + 2^3 . 2^-2x = 17
2.2^2x + 8.(1/2^2x) = 17
misal 2^2x = p
2p + 8/p = 17
kalikan dengan p
2p² + 8 = 17p
2p² - 17p + 8 = 0
(2p - 1)(p - 8) = 0
2p - 1 = 0
2p = 1
p = 1/2
p = 2^2x = ½
atau
p - 8 = 0
p = 8
p = 2^2x = 8