Question

$\sqrt{1-{\log }_{3}x}$, the domain is (a,b], find ab

Answer 1

Above is defined if $1-{\log }_{3}x\ge 0$ and $x>0$ or $1-{\log }_{3}x\ge 1={\log }_{3}3$ and $x>0$ or $x\le$ 3 and $x>0$

$\therefore xϵ(0,3).$