Question

Сравните:
$log_{5}(625) \: \: и \: \: log_{ \frac{1}{3} }(27)$
с решением
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Answer 1

Ответ:

$log_{5}(625) = log_{5}( {5}^{4} ) = 4$

$log_{ \frac{1}{3} }(27) = log_{ \frac{1}{3} }( {3}^{3} ) = log_{ \frac{1}{3} }( {( \frac{1}{3} )}^{ - 3} ) = - 3$

$4 > - 3 \\ log_{5}(625) > log_{ \frac{1}{3} }(27)$