Question

Responda a seguir as questão de Log:

Answer 1

$log_{ \frac{1}{2} }~4 \sqrt{2}=x \\ \\ (\frac{1}{2})^x = 4 \sqrt{2} \\ \\ (2^{-1})^x = \sqrt{32} \\ \\ 2^{-x} = 2^{ \frac{5}{2} } \\ \\ -x = \frac{5}{2} \\ \\ x = - \frac{5}{2}$

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$log_4~16 \sqrt{8} =x \\ \\ 4^x = 16 \sqrt{8} \\ \\ 2^{2x}= \sqrt{2048} \\ \\ 2^{2x}= 2^{11} \\ \\ 2x=11 \\ \\ x = \frac{11}{2}$

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$log_3~9 \sqrt{3}=x \\ \\ 3^x = 9 \sqrt{3} \\ \\ 3^x=243 \\ \\ 3^x = 3^5 \\ \\ x = 5$