Question

expliquem, por favor! 

Answer 1

Propriedades usadas:

$log_{b}(a)+log_{b}(c)=log_{b}(a\cdot c)\\\\\\log_{b}(a)-log_{b}(c)=log_{b}\left[\dfrac{a}{c}\right]\\\\\\log_{b}(a^{n})=n\cdot log_{b}(a)\\\\\\log_{b}(b)=1$
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$log_{3}4,5+2log_{3}\sqrt{6}+log_{4}320-log_{4}20\\log_{3}4,5+log_{3}(\sqrt{6})^{2}+log_{4}(320/20)\\log_{3}4,5+log_{3}6+log_{4}16\\log_{3}(4,5\cdot6)+log_{4}(4^{2})\\log_{3}27+2log_{4}4\\log_{3}3^{3}+2\cdot1\\3log_{3}3+2\\3\cdot1+2\\3+2\\5$