Решение1) (9/2)^(-2x - 3) = )9/2)^(x - 2)- 2x - 3 = x - 2- 2x - x = - 2 + 3- 3x = 1x = - 1/3Ответ: х = - 1/32) 9 * (3^x) + 3^x = 30(3^x)*(9 + 1) = 303^x = 3x = 1Ответ: х = 13) 5^(4x + 7) > 15^(4x + 7) > 5°4x + 7 > 04x > - 7x > - 7/4x > - 1 (3/4)x∈ (- 7/4; + ∞)Ответ: x∈ (- 7/4; + ∞)4) 4^(x + y) = 1285^(3x - 2y - 3) = 12^(2x - 2y) = 2⁷5^(3x - 2y - 3) = 5⁰2x - 2y = 73x - 2y - 3 = 02x - 2y = 7 умножим на (- 1)3x - 2y = 3- 2x + 2y = - 7 3x - 2y = 3сложимx = - 42*(-4) - 2y = 7- 8 - 2y = 7- 2y = 15y = - 7,5Ответ: (- 4; - 7,5)5) 25^(x + 1) < 6*5^(x + 1) - 55^[2*(x + 1)] - 6*[5^(x + 1)] + 5 < 05^(x + 1) = tt² - 6t + 5 < 0t₁ = 1t₂ = 51) 5^x > 15^x > 5⁰x > 02) 5^x < 5x < 1Ответ: x∈ (0; 1)