Учтём. что если 4^0,25x = t, то 4^0,5x = t²
4^0,5x *4^2 -65*4^0,25x +4 = 0
16t² - 65t +4 = 0
D = 3969
t₁ = (65 +63)/32 = 128/32 = 5
t₂ = (65 -63)/32 =2/32 = 1/16
а) t = 5 б) 4^0,25x = 1/16
4^0,25x = 5 4^0,25x = 4^-2
2^0,5x = 5 0,25x = -2
0,5x lg2 = lg5 x = -8
0,5x = lg5/lg2
x = 2lg5/lg2