Предмет: Алгебра, автор: налямила1

Решить 4 задание...................................

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Ответы

Автор ответа: nKrynka

Решение
4.
log₂,₃ (3x + 1) - log₂,₃ 7 = log₂,₃ 4
ОДЗ: 3x + 1 > 0, 3x > - 1, x > - 1/3, x ∈ (- 1/3; + ∞)
log₂,₃ (3x + 1) = log₂,₃ 7 + log₂,₃ 4
log₂,₃ (3x + 1) = log₂,₃ (7 * 4)
3x + 1 = 28
3x = 28 - 1
3x = 27
x = 27:3
x = 9 ∈ (- 1/3; + ∞)
Ответ: x = 9

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