Question

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

a6fae6781e051a7a9ebe7b0479ac042b.docx

Answer 1

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