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Gagarin60
@Gagarin60
July 2022
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log11(x+4)+log11(x-2)=log11(x-6)
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nKrynka
Решение
Log11(x+4)+log11(x-2)=log11(x-6)
ОДЗ: x + 4 > 0, x > - 4
x - 2 > 0, x > 2
x - 6 > 0, x > 6
ОДЗ:
∈ (6; + ∞)
log₁₁[(x + 4)*(x - 2)] = log₁₁(x - 6)
[(x + 4)*(x - 2)] = x - 6
x
² + 2x - 8 - x + 6 = 0
x² + x - 2 = 0
x₁ = - 2 ∉
(6; + ∞)
x = 1 ∉
(6; + ∞)
уравнение решений не имеет
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Answers & Comments
Log11(x+4)+log11(x-2)=log11(x-6)
ОДЗ: x + 4 > 0, x > - 4
x - 2 > 0, x > 2
x - 6 > 0, x > 6
ОДЗ: ∈ (6; + ∞)
log₁₁[(x + 4)*(x - 2)] = log₁₁(x - 6)
[(x + 4)*(x - 2)] = x - 6
x² + 2x - 8 - x + 6 = 0
x² + x - 2 = 0
x₁ = - 2 ∉ (6; + ∞)
x = 1 ∉ (6; + ∞)
уравнение решений не имеет