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Robot2104
@Robot2104
August 2022
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Решите неравенство:
log9 (5x-9)< или = log9(7x-11)
Позязя, помогите решить
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matilda17562
Решение:
log_9(5x - 9) ≤ log_9(7x - 11)
Функция у = log_9x возрастающая (а = 9, 9>1), тогда
5х - 9 ≤ 7х - 11
5х - 7х ≤ - 11 + 9
- 2х ≤ - 2
х ≥ - 2 : ( - 2)
х ≥ 1
Ответ: [ 1 ; + ∞ )
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Answers & Comments
log_9(5x - 9) ≤ log_9(7x - 11)
Функция у = log_9x возрастающая (а = 9, 9>1), тогда
5х - 9 ≤ 7х - 11
5х - 7х ≤ - 11 + 9
- 2х ≤ - 2
х ≥ - 2 : ( - 2)
х ≥ 1
Ответ: [ 1 ; + ∞ )