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EinLied
@EinLied
July 2022
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Ребята, помогите решить, объясняя. Уже по-разному пробовала, ни в какую.
Нужно найти Х
[tex] \sqrt[3]{27^{ x-1} } = \frac{9}{ \sqrt{3} } [/tex]
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yanaaleksandrov
Возведем все в куб
27^(x-1)=(3^2)^3/(3^1/2)^3
(3^3)^(x-1)=3^6/3^(3/2)
3^(3x-3)=3^4.5
3x-3=4.5
3x=7.5
x=2.5
2 votes
Thanks 1
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Answers & Comments
27^(x-1)=(3^2)^3/(3^1/2)^3
(3^3)^(x-1)=3^6/3^(3/2)
3^(3x-3)=3^4.5
3x-3=4.5
3x=7.5
x=2.5