Question

log4(2+ корень из x+3)= 2 cos(5п/3)

Answer 1

2 cos(5п/3)=1

$log_{4}(2+sqrt{x+3})=1\ log_{4}(2+sqrt{x+3})=log_{4}4\ 2+sqrt{x+3}=4\sqrt{x+3}=2\ x+3=4\ x=1$

Делаем проверку $log_{4}(2+sqrt{1+3})=log_{4}(2+sqrt4)=log_{4}(2+2)=log_{4}4=1$

Ответ 1