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Консультация № 194222
17.12.2018, 23:08
0.00 руб.
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Обсуждение
25.12.2018, 03:26
общий
это ответ
Здравствуйте, lk!
Запишем неравенство в виде
перенесём всё налево:
выделим полный квадрат:
и воспользуемся формулой для разности квадратов:
При x=1, очевидно, log[sub]3[/sub]x = log[sub]4[/sub]x = 0, и оба сомножителя в последнем неравенстве обращаются в 0, то есть x=1 - решение. Кроме того, неравенство будет выполняться либо при
либо при
При x [$8800$] 1 первую систему неравенств можно записать в виде
откуда, с учётом того, что при любом x [$8800$] 1
получаем решение
Для второй системы неравенств аналогичным образом получаем
или
что, очевидно, не является решением.
Итак, решение неравенства будет иметь вид
Запишем неравенство в виде
перенесём всё налево:
выделим полный квадрат:
и воспользуемся формулой для разности квадратов:
При x=1, очевидно, log[sub]3[/sub]x = log[sub]4[/sub]x = 0, и оба сомножителя в последнем неравенстве обращаются в 0, то есть x=1 - решение. Кроме того, неравенство будет выполняться либо при
либо при
При x [$8800$] 1 первую систему неравенств можно записать в виде
откуда, с учётом того, что при любом x [$8800$] 1
получаем решение
Для второй системы неравенств аналогичным образом получаем
или
что, очевидно, не является решением.
Итак, решение неравенства будет иметь вид
5
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