Question

Cit va fi : 2 log in baza 3 din 5 + log in baza 1/3 din 75 = ?

Answer 1

$2 log_{3}5 + log_{ \frac{1}{3} }75 = \\ = log_{3}{5}^{2} + log_{ {3}^{ - 1} }75 \\ = log_{3}25 - log_{3}75 \\ = log_{3} \frac{25}{75} = log_{3} \frac{1}{3} = log_{3} {3}^{ - 1} \\ = - 1$