Resolva as inequações exponenciais: a) 3???? < 1 27 b) 2???? 2−???? ≤ 64 c) 8 < 2???? < 32 d) 0,1 < 100???? < 1000 e) (27????−2)????+1 ≥ (9????+1)????−3

a) 3^x < 1/27 3^x < 3^(-3) x < -3 b) 2^(x^2 - x) ≤ 64 2^(x^2 - x) ≤ 2^6 x^2 - x ≤ 6 x^2 - x - 6 ≤ 0 (x - 3)(x + 2) ≤ 0 -2 ≤ x ≤ 3 c) 8 < 2^(x) < 32 2^3 < 2^(x) < 2^5 3 < x < 5 d) 0,1 < 100^(x) < 1000 10^(-1) < 10^(2x) < 10^3 -1/2 < x < 3/4 e) (27^(x-2))^(y+1) ≥ (9^(x+1))^(y-3) (3^(3(x-2)))^(y+1) ≥ (3^(2(x+1)))^(y-3) 3^(3x-6)(y+1) ≥ 3^(2x+2)(y-3) 3^(3x+3y-3) ≥ 3^(2x+2y-6) 3x+3y-3 ≥ 2x+2y-6 x ≥ -3 Resposta: a) x < -3; b) -2 ≤ x ≤ 3; c) 3 < x < 5; d) -1/2 < x < 3/4; e) x ≥ -3.