Решите уравнение log27 35–4x = 9.
Источник: Ященко ЕГЭ 2023 (36 вар)
Решение:
log27 35–4x = 9
35–4x = 279
35–4x = (33)9
35–4x = 33·9
35–4x = 327
5 – 4x = 27
–4x = 27 – 5
–4x = 22
x = 22/(–4) = –5,5
Ответ: –5,5.
Решите уравнение log27 35–4x = 9.
Источник: Ященко ЕГЭ 2023 (36 вар)
Решение:
log27 35–4x = 9
35–4x = 279
35–4x = (33)9
35–4x = 33·9
35–4x = 327
5 – 4x = 27
–4x = 27 – 5
–4x = 22
x = 22/(–4) = –5,5
Ответ: –5,5.