Question

$log _{5} 6-log _{5}2+log _{5} frac{25}{4}$
срочно

Answer 1

Свойства логарифмов:
$log_aa^b=b \ log_ab+log_ac=log_abc \ log_ab-log_ac=log_a frac{b}{c}$

$log _{5} 6-log _{5}2+log _{5} frac{25}{4} = log _{5} 6-log _{5}2+log _{5} 25-log _{5} 4= \ =log _{5} 25+log _{5} frac{6}{2cdot4} =log _{5} 5^2+log _{5} frac{3}{4} = 2+log _{5} frac{3}{4}$