Решите неравенство: 8^(x-2) + 3*2^(3x-2) < = 49/2

2^(3x-6)+3*2^(3x-2)≤49/2
2^(3x-6)*(1+3*16)≤49/2
2^(3x-6)*49≤49/2
2^(3x-6)≤2^(-1)
3x-6≤-1
3x≤5
x≤5/3
x∈(-∞;1 2/3]

Y=2^3x
y*(1/64)+3y*(1/4),=49/2
y*(1/64+48/64)=49/2
y<=32
2^3x<=2^5
x<=5/3