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Dawidut25
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va rooog mult !!! Kalinux daca vezi asta ajuta-ma
Precizati daca M este rational
[tex] {8}^{1 + log_{4}(12) }[/tex]


Răspuns :

[tex]8^{1+\log_4 12}=8^{\log_4 4+\log_4 12}=8^{\log_4 48}=48^{\log_4 8}=48^{\log _4(4\cdot 2)}=\\=48^{1+\frac{1}{2}}=\sqrt{48^{3}}=48\sqrt{48}\in \mathbb{R}\backslash \mathbb{Q}.\\ \text{Deci e irational.}[/tex]