Question

решение пожалуйста, подробное.

Answer 1

2ˣ = a

3ˣ = b

3a² - 5ab + 2b² = 0 | : b²

3(a/b)² - 5(a/b) + 2 = 0

D = 25 - 24 = 1

a/b = (5 - 1)/6 = 4/6 = 2/3

(2/3)ˣ = 2/3

x₁ = 1

a/b = (5+1)/6 = 1

(2/3)ˣ = 1 = (2/3)⁰

x₂ = 0

Ответ: 0 и 1