👤

(√3)^log in baza 3 din 2 , va rog mult!

Răspuns :

[tex](\sqrt{3})^{\log_{3}2}=\\
\\ =(3^{\frac{1}{2})^{\log_{3}2}=\\
\\ =3^{\frac{1}{2} \log_{3}2}=\\
\\ =3^{\log_{3}2^{\frac{1}{2}}=\\
\\ =3^{\log_{3}\sqrt{2}}=\\
\\ =\sqrt{2}[/tex]