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Задать вопрос экспертам

Консультация № 174802

03.12.2009, 00:01

0.00 руб.

0 1 1

Образование

Уважаемые эксперты,необходимо сравнить log60 по основанию 4 и log30 по основанию 3,не знаю как это сделать,помогите пожалуйсто.Заранее благодарен.

Обсуждение

Неизвестный

03.12.2009, 12:04

общий

это ответ

Здравствуйте, Screed.

Предлагаю такое решение
log[size=1]4[/size]60 = log[size=1]4[/size](15*4) = log[size=1]4[/size]15 + log[size=1]4[/size]4 = 1 + log[size=1]4[/size]15

log[size=1]3[/size]30 = log[size=1]3[/size](3*10) = log[size=1]3[/size]3 + log[size=1]3[/size]10 = 1 + log[size=1]3[/size]10

log[size=1]3[/size]10 > 2(т.к. 3²=9)
log[size=1]4[/size]15 < 2(т.к. 4²=16)

cсоответственно

log[size=1]3[/size]30 > log[size=1]4[/size]60

5

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