Question

Log2²(3-x)+log∛2(3-x)≤0 помогите пожалуйста))

Answer 1

$log_2^2(3-x) + log_{ sqrt[3]{2} }(3-x) leq 0 \3-x textgreater 0 \ x textless 3 \ log_2^2(3-x) + 3log_2(3-x) leq 0 \ log_2(3-x)=t \ t^2+3t leq 0 \ t(t+3) leq 0 \ t_1 = 0; t_2=-3 \ log_2(3-x)=0 \ 3-x=1 \ x=2 \ log_2(3-x)=-3 \ 3-x=sqrt[3]{2}\ x=3 -sqrt[3]{2}$