Question

Questões número 4 e 5

Answer 1

Questão 4:

$log_{3}( \frac{81 \sqrt{3} }{ \sqrt[3]{3} } ) \\ \\ log_{3}(81 \sqrt{3} ) - log_{3}( \sqrt[3]{3} ) \\ \\ log_{3}(81 \times {3}^{ \frac{1}{2} } ) - log_{3}( {3}^{ \frac{1}{3} } ) \\ \\ ( log_{3}(81) + log_{3}( {3}^{ \frac{1}{2} } ) ) - log_{3}( {3}^{ \frac{1}{3} } ) \\ \\ ( log_{3}(81) + \frac{1}{2} \times log_{3}(3) ) - \frac{1}{3} \times log_{3}(3) \\ \\ (4 + \frac{1}{2} \times 1) - \frac{1}{3} \times 1 \\ \\ (4 + \frac{1}{2} ) - \frac{1}{3} \\ \\ ( \frac{8}{2} + \frac{1}{2} ) - \frac{1}{3} \\ \\ \frac{9}{2} - \frac{1}{3} \\ \\ \frac{(3 \times 9) - (2 \times 1)}{6} \\ \\ \frac{27 - 2}{6} \\ \\ \frac{25}{6}$



Questão 5:

$log(2.56) \\ \\ log( \frac{256}{100} ) \\ \\ log(256) - log(100) \\ \\ log( {2}^{8} ) - log(100) \\ \\ 8 \times log(2) - log(100) \\ \\ 8a - 2$