Question

Решить неравенство

1)4^(x+1)>32

2)2^(2*x-1)+2^(2*x-2)<24

Answer 1

4^(x+1)>32
2^(2(x+1))>2^5
2(x+1)>5
2x+2>5
2x>3
x>3/2

2^(2*x-1)+2^(2*x-2)<24
2^2x/2+2^2x/4<24
2^2x(1/2+1/4)<24
2^2x*3/4<24
2^2x<24*4/3
2^2x<32
2^2x<2^5
2x<5
x<5/2