Question

log baza 5 din 30 - log baza 25 din 36

Answer 1

log5 din 30- log5² 36=log5 30- log5 √36=log5 30-log5 6=log5 30/6= log5 5=1

Answer 2

$\displaystyle log_530-log_{25}36=log_530-log_{5^2}36=log_530- \frac{1}{2} log_536= \\ \\ =log_530- \frac{1}{2} log_56^2=log_530-2 \cdot \frac{1}{2} log_56=log_530-log_56= \\ \\ =log_5 \frac{30}{6} =log_55=1$