Question

решить уравнение 3^(3x+1) - 10*9^(x+1) +9^(x+2)=0

Answer 1

3³ˣ⁺¹ - 10·9ˣ⁺¹ + 9ˣ⁺² = 0
3³ˣ⁺¹ - 10·9·9ˣ + 9²·9ˣ= 0
3³ˣ⁺¹ = 90·3²ˣ - 81·3²ˣ
3³ˣ⁺¹ = 9·3²ˣ
3³ˣ⁺¹ = 3²ˣ⁺²
3х + 1 = 2х + 2
х = 1