Задание 7. Найдите корень уравнения: 1) 5⁷ˣ⁺².5⁴⁻²ˣ=125;

5⁷ˣ⁺² * (2²)⁴⁻²ˣ = 5³

5⁷ˣ⁺² * 2⁸⁻⁴ˣ = 5³

(5⁷ˣ⁺² * 2⁸⁻⁴ˣ) / 5³ = 1

This equation seems to have a typo or is unsolvable with standard methods. Assuming the base should be the same for both terms on the left side. If it was 5⁷ˣ⁺² * 5⁴⁻²ˣ = 125, then:

5⁷ˣ⁺²⁺⁴⁻²ˣ = 5³

5⁵ˣ⁺⁶ = 5³

5x+6 = 3

5x = -3

x = -0.6