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sharipov99
@sharipov99
July 2022
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Найти корень уравн. log4(2-x)=log16(25).
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nKrynka
Решение
log4(2-x)=log16(25)
ОДЗ: 2 - x > 0
x < 2
x
∈ (- ∞; 2)
log₄ (2 - x) = log₄² (5²)
log₄ (2 - x) = log₄ (5)
2 - x = 5
- x = 5 - 2
x = - 3 ∈
(- ∞; 2)
Ответ: - 3
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Answers & Comments
log4(2-x)=log16(25)
ОДЗ: 2 - x > 0
x < 2
x ∈ (- ∞; 2)
log₄ (2 - x) = log₄² (5²)
log₄ (2 - x) = log₄ (5)
2 - x = 5
- x = 5 - 2
x = - 3 ∈ (- ∞; 2)
Ответ: - 3