Если 16^а=3, чему равно 32^а? - №25948538

Если 16^а=3, чему равно 32^а?
- Предмет:
  Алгебра
- Автор:
  dustin105
- 5 лет назад

Ответы 1

Представим 16 как 2 в 4-й степени: $16^a=(2^4)^a=2^{4a}=(2^a)^4=3 \\ \\ 2^a=3^{1/4}= \sqrt[4]{3}$ Представим 32 как 2 в 5-й степени: $32^a=(2^5)^a=2^{5a}=(2^a)^5=(3^{1/4})^5=3^{5/4}=3 \sqrt[4]{3}$
- Автор:
  augustus
- 5 лет назад
- 0
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