5. Решите уравнение (3x^3)^5 * (3x^3)^4 / (9x^2)^4 = 24.

(3x^3)^5 * (3x^3)^4 / (9x^2)^4 = 24 3^5 * x^{15} * 3^4 * x^{12} / (9^4 * x^8) = 24 3^9 * x^{27} / (3^2)^4 * x^8 = 24 3^9 * x^{27} / (3^8 * x^8) = 24 3^(9-8) * x^(27-8) = 24 3 * x^{19} = 24 x^{19} = 24 / 3 x^{19} = 8 x = \sqrt[19]{8} x = \sqrt[19]{2^3} x = 2^{\frac{3}{19}} Ответ: x = 2^{\frac{3}{19}}