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explicit va rog..sa inteleg cum a fost rezolvat

Explicit Va Rogsa Inteleg Cum A Fost Rezolvat class=

Răspuns :


[tex]log_{x}y+log_{x}z=log_{x}(y\cdot z)\\
\\ log_{x}y-log_{x}z=log_{x}(y:z)\\
\\ \\
\\ log_{3}\frac{18}{5}+log_{3}5-log_{3}2=\\
\\ =log_{3}(\frac{18}{5}\cdot5)-log_{3}2=\\
\\ =log_{3}18-log_{3}2=\\
\\ =log_{3}(18:2)=\\
\\ =log_{3}9=\\
\\ =log_{3}3^{2}=\\
\\ =2log_{3}3=\\
\\ =2\cdot 1=\\
\\ =2[/tex]