Question

Помогите решить задачу

Answer 1

$1);log_522-log_511-log_510=log_5frac{22}{11}-log_510=log_52-log_510=\=log_5frac2{10}=log_5frac15=-1\\2);log_38-log_34+log_3frac92=log_3frac84+log_3frac92=log_32+log_3frac92=\=log_3left(2cdotfrac92right)=log_39=2$

Answer 2

$1)log _{5}22 -log _{5} 11-log _{5} 10=log _{5} (22:11:10)=log _{5} frac{1}{5} =log _{5} 5 ^{-1} = \ =-1*log _{5} 5=-1*1=-1 \ \ 2)log _{3} 8-log _{3} 4+log _{3} frac{9}{2} =log _{3} (8:4*4.5)=log _{3} 9=2$