Questões número 4 e 5
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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}](https://tex.z-dn.net/?f=+log_%7B3%7D%28+%5Cfrac%7B81+%5Csqrt%7B3%7D+%7D%7B+%5Csqrt%5B3%5D%7B3%7D+%7D+%29++%5C%5C++%5C%5C++log_%7B3%7D%2881+%5Csqrt%7B3%7D+%29++-++log_%7B3%7D%28+%5Csqrt%5B3%5D%7B3%7D+%29++%5C%5C++%5C%5C++log_%7B3%7D%2881+%5Ctimes++%7B3%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%29++-++log_%7B3%7D%28+%7B3%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%29++%5C%5C++%5C%5C+%28+log_%7B3%7D%2881%29++%2B+++log_%7B3%7D%28+%7B3%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%29+%29+-++log_%7B3%7D%28+%7B3%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%29++%5C%5C++%5C%5C+%28+log_%7B3%7D%2881%29++%2B++%5Cfrac%7B1%7D%7B2%7D++%5Ctimes++log_%7B3%7D%283%29+%29+-++%5Cfrac%7B1%7D%7B3%7D++%5Ctimes++log_%7B3%7D%283%29++%5C%5C++%5C%5C+%284+%2B++%5Cfrac%7B1%7D%7B2%7D++%5Ctimes+1%29+-++%5Cfrac%7B1%7D%7B3%7D++%5Ctimes+1+%5C%5C++%5C%5C+%284+%2B++%5Cfrac%7B1%7D%7B2%7D+%29+-++%5Cfrac%7B1%7D%7B3%7D++%5C%5C++%5C%5C+%28+%5Cfrac%7B8%7D%7B2%7D++%2B++%5Cfrac%7B1%7D%7B2%7D+%29+-++%5Cfrac%7B1%7D%7B3%7D++%5C%5C++%5C%5C++%5Cfrac%7B9%7D%7B2%7D++-++%5Cfrac%7B1%7D%7B3%7D++%5C%5C++%5C%5C++%5Cfrac%7B%283+%5Ctimes+9%29+-+%282+%5Ctimes+1%29%7D%7B6%7D++%5C%5C++%5C%5C++%5Cfrac%7B27+-+2%7D%7B6%7D++%5C%5C++%5C%5C++%5Cfrac%7B25%7D%7B6%7D+ "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:
Questão 5:
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