Question

$log \sqrt{3 \sqrt{3 \: \: \: \: \: \:} } \: to \: the \: base \: 9$
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Answer 1

$heya \\ \\ \\ \\ log_{9}((3) {}^{1 \div 2} \times (3) {}^{1 \div 4} ) \\ \\ \\ \\ \\ \\ log_{9}(3 {}^{1 \div 2} ) + log_{9}(3 {}^{1 \div 4} ) \\ \\ \\ \\ \\ log_{3 {}^{2} }(3 {}^{1 \div 2} ) + log_{3 {}^{2} }(3 {}^{1 \div 2} ) \\ \\ \\ \\ \\ (1 \div 4) + (1 \div 4) \\ \\ \\ \\ 2 \div 4 \\ \\ \\ \\ 1 \div 2$