4^x - 2^(x + 1) - 24 = 0
4^x - 2*2^x - 24 = 0
2^x = y > 0
y^2 - 2y - 24 = 0
D = 4 + 96 = 100
y12 = (2 +- 10)/2 = 6 -4
y1 = -4 < 0 нет
y = 6
2^x = 6
log(2) 2^x = log(2) 6
x = log(2) 6 = log(2) 2*3 = 1 + log(2) 3
======
4^x + 2^(x + 1) - 24 = 0
........
y12 = (-2 +- 10)/2 = -6 4
y1 = -6 < 0 нет
y = 4
2^x = 2^2
x = 2
это + если
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Verified answer
4^x - 2^(x + 1) - 24 = 0
4^x - 2*2^x - 24 = 0
2^x = y > 0
y^2 - 2y - 24 = 0
D = 4 + 96 = 100
y12 = (2 +- 10)/2 = 6 -4
y1 = -4 < 0 нет
y = 6
2^x = 6
log(2) 2^x = log(2) 6
x = log(2) 6 = log(2) 2*3 = 1 + log(2) 3
======
4^x + 2^(x + 1) - 24 = 0
........
y12 = (-2 +- 10)/2 = -6 4
y1 = -6 < 0 нет
y = 4
2^x = 2^2
x = 2
это + если
=========
обнови
но ответ некрасивый