Решите уравнение (x+27) log6 (x-9) = 0

Решите уравнение (x+27) log6 (x-9) = 0
- Предмет:
  Алгебра
- Автор:
  roberts
- 6 лет назад

Ответы 2

Решение:Преобразуем логарифмическое уравнение: $\log_6(x-9)^{x+27}=0 \\ (x-9)^{x+27}=1$ Единица получается только в том случае, если возвести любое число (кроме 0, т.е. x≠9), в 0 степень. Приравняем уравнение (x+27) к нулю. $x+27 = 0 \\ x= -27$ Ответ: x=-27
- Автор:
  jaylin36
- 6 лет назад
- 0
(x+27) log6 (x-9) = 0ОДЗ x>9log6 (x-9)=0x-9=1x=10x+27=0x=-27 не подходит по ОДЗ
- Автор:
  sammyb0yf
- 6 лет назад
- 0
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Решите уравнение (x+27) log6 (x-9) = 0

Ответы 2

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