Question

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

Answer 1

$(\sqrt{3})^{\log_{3}2}=\\ \\ =(3^{\frac{1}{2})^{\log_{3}2}=\\ \\ =3^{\frac{1}{2} \log_{3}2}=\\ \\ =3^{\log_{3}2^{\frac{1}{2}}=\\ \\ =3^{\log_{3}\sqrt{2}}=\\ \\ =\sqrt{2}$