Предмет: Математика, автор: VVladDislav

Log√4*8 Нужна помощь с этим логарифмом

Приложения:

dnepr1: Какое основание логарифма?
dnepr1: И что именно умножено на 8 - 4, корень из 4 или весь логарифм? Надо применять скобки для ясности!
VVladDislav: Загрузил фотографию,чтобы было понятнее.
dnepr1: Не надо было в задании ставить знак умножения. Так Log(√4, (8)) было бы ясно, что √4 - это основание логарифма.

Ответы

Автор ответа: Olga8128
5

Ответ:  3.

Решение:

√4 = 2, так как 2². Подставляем:

\log_{2} 8 = ?

То есть: в какую степень нужно возвести 2, чтобы получить 8? Понятно, что в третью:

2³ = 2 * 2 * 2 = 8.

Следовательно, ответ равен 3.

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