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log( baza 1/√5) √125  = ?

Multumesc anticipat !



Răspuns :

[tex]log_{\frac{1}{\sqrt{5}}\sqrt{125}=\\ \frac{log_{5} \sqrt{125} }{log_{5} \frac{1}{\sqrt{5}} }\\ =\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