[tex]\displaystyle1)log_{\sqrt{2}}2+log_{ \sqrt[3]{3} }3=\\
= \frac{log_{2}2}{log_{2}2^{ \frac{1}{2} }} +\frac{log_{3}3}{log_{3}3^{ \frac{1}{3} }}=\\
= \frac{1}{ \frac{1}{2} } +\frac{1}{ \frac{1}{3} }=2+3=5\\
2)log_{ \frac{1}{ \sqrt{5} } } \sqrt{125} = \frac{log_{5}5^{ \frac{3}{2} }}{log_{5}5^{- \frac{1}{2} }}=\\
= \frac{ \frac{3}{2} }{- \frac{1}{2} } =-3[/tex]Scrie răspunsul tău aici
