Question

Alguém resolve??pfv presciso mt da ajuda de vcs

Answer 1

Boa noite

3)

 $a)log_{3}15- log_{3}5= log_{3} ( \frac{15}{5} )= log_{3}3=1 \\ \\ b) log_{5}(25*125)= log_{5}25+ log_{5}125= log_{5} 5^{2}+ log_{5} 5^{3}=2+3=5 \\ \\ c) log_{5} 5^{125}=125* log_{5}5=125*1=125 \\ \\ d) log_{3} \frac{27 \sqrt{3} }{ \sqrt[3]{3} }= log_{3}27 \sqrt{3}- log_{3} \sqrt[3]{3}= log_{3}27+ log_{3} \sqrt{3}- log_{3} \sqrt[3]{3} \\ \\ log_{3} 3^{3}+ log_{3} 3^{ \frac{1}{2} }- log_{3} 3^{ \frac{1}{3} } =3+ \frac{1}{2}- \frac{1}{3}= \frac{18+3-2}{6} = \frac{19}{6}$

4)    $log_{2}7* \frac{ log_{2}13 }{ log_{2}7 } * \frac{ log_{2}2 }{ log_{2} 13}= \frac{ log_{2}7 }{ log_{2}7}* \frac{ log_{2} 13}{ log_{2} 13}* log_{2}2=1*1*1 =1$