Question

Find the domains of definition of the following functions.
$y=lo{g}_{3}lo{g}_{1/2}x.$

Answer 1

$y={\log }_3{\log }_{1/2}x$

For $ytobedefined-$

$\left(i\right)$ $x>0$

$\left(ii\right)$ ${\log }_{1/2}x>0$

$⟹x<1$

Hence the domain is $x\in (0,1)$