16^x - 4^(x + 1) = 32
4^2x - 4*4^x = 32
4^x = y > 0
y^2 - 4y - 32 = 0
D = 16 + 128 = 144
y12 = (4 +- 12)/2 = 8 - 4
y1 = -4 нет < 0
y2 = 8
4^x = 8
log(4) 4^x = log(4) 8
x = log(4) 8 = log(2^2) 2^3 = 3/2
16^x - 4^(x + 1) = 32
4^2x - 4*4^x = 32
4^x = y > 0
y^2 - 4y - 32 = 0
D = 16 + 128 = 144
y12 = (4 +- 12)/2 = 8 - 4
y1 = -4 нет < 0
y2 = 8
4^x = 8
log(4) 4^x = log(4) 8
x = log(4) 8 = log(2^2) 2^3 = 3/2