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aensepbaeva1
@aensepbaeva1
July 2022
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помогите прошу ребята очень надо сейчас Прошу васс... Решите логарифмические уравнения : 1) log по основанию 3 √2x+1 = 1
2) log по основанию 1/2 ∛2х - 2 = -2
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nKrynka
1) log₃ (√(2x + 1) = 1
ОДЗ: 2x + 1 ≥ 0, x ≥ - 1/2
√(2x + 1 = 3
(√(2x + 1))² = 3²
2x + 1 = 9
2x = 8
x = 4
2) log₁/₂ (∛(2x - 2) = - 2, ОДЗ: 2x -2 > 0, x > 1
∛(2x - 2) = (1/2) ⁻²
∛(2x - 2) = 4
(∛(2x - 2))³ = 4³
2x - 2 = 64
2x = 66
x = 33
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Answers & Comments
ОДЗ: 2x + 1 ≥ 0, x ≥ - 1/2
√(2x + 1 = 3
(√(2x + 1))² = 3²
2x + 1 = 9
2x = 8
x = 4
2) log₁/₂ (∛(2x - 2) = - 2, ОДЗ: 2x -2 > 0, x > 1
∛(2x - 2) = (1/2) ⁻²
∛(2x - 2) = 4
(∛(2x - 2))³ = 4³
2x - 2 = 64
2x = 66
x = 33