Question

Calcule o logaritmo abaixo e marque a resposta certa. * log9 1/729

Answer 1

$\sf\: log_{9}\Bigg( \frac{1}{729} \Bigg) \\ \\ \sf\: log_{3 {}^{2} }\Bigg( \frac{1}{729} \Bigg) \\ \\ \sf\: log_{3 {}^{2} }\Bigg( \frac{1}{3 {}^{6} } \Bigg) \\ \\ \sf\: log_{3 {}^{2} }\Big(3 {}^{ - 6} \Big) \\ \\ \sf\: \frac{ - 6}{2} \cdot log_{3}(3) \\ \\ \sf\: \frac{ - 6}{2} \cdot 1 \\ \\ \sf\: \frac{ - 6}{2} \\ \\\sf\: \frac{ - 6}{2} \div 2 \\ \\ \sf\: - 3$

Att: Nerd1990