Question

The value of ${\log }_5{\log }_2{\log }_3{\log }_{2}512$ is

Answer 1

${\log }_5{\log }_2{\log }_3{\log }_{2}512$
$={\log }_5{\log }_2{\log }_3{\log }_2{2}^9$
$={\log }_5{\log }_2{\log }_{3}9$
$={\log }_5{\log }_2{\log }_3{3}^2$
$={\log }_5{\log }_{2}2$
$={\log }_{5}1$
$=0$