Question

log
$log_{9}(27) - log_{27}(9)$

Answer 1

$log_{9}(27) - log_{27}(9)$
$= log_{3 ^{2} }( {3}^{3} ) - log_{ {3}^{3} }( {3}^{2} )$
$= \frac{3}{2} \times log_{3}(3) - \frac{2}{3} \times log_{3}(3)$
$= \frac{3}{2} - \frac{2}{3}$
$= \frac{5}{6}$

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