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Консультация № 194443
16.01.2019, 20:58
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Известно, что для некоторой тройки чисел x, y, z(z≠y) выражения из прикрепленной картинки равны одному и тому же числу. Найдите это число.
Известно, что для некоторой тройки чисел x, y, z(z≠y) выражения из прикрепленной картинки равны одному и тому же числу. Найдите это число.
Прикрепленные файлы:
Обсуждение
20.01.2019, 20:52
общий
это ответ
Здравствуйте, Zarefo10!
Как я понимаю, имеются в виду вещественные числа.
Если при некотором наборе значений
заданные выражения равны, то при том же наборе значений равны и выражения, от которых берутся логарифмы по одному основанию, то есть
Ввиду того, что основанием логарифма является число
ни одно из чисел не может быть равно нулю. Тогда уравнение (1) не имеет подходящих решений. Рассмотрим уравнение (2); получим, что 
что не является подходящим решением, так как по условию задания 
Следовательно, задание не может быть выполнено в области вещественных чисел.
Возможно, я ошибся в своих рассуждениях. Тем интереснее мне будет узнать, каков правильный ответ.
Как я понимаю, имеются в виду вещественные числа.
Если при некотором наборе значений
заданные выражения равны, то при том же наборе значений равны и выражения, от которых берутся логарифмы по одному основанию, то естьВвиду того, что основанием логарифма является число
ни одно из чисел
не может быть равно нулю. Тогда уравнение (1) не имеет подходящих решений. Рассмотрим уравнение (2); получим, что что не является подходящим решением, так как по условию задания Следовательно, задание не может быть выполнено в области вещественных чисел.Возможно, я ошибся в своих рассуждениях. Тем интереснее мне будет узнать, каков правильный ответ.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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