Question

The value of $x$, if ${\log }_{\sqrt{2}}\left({\log }_2\right({\log }_4(x-15)\left)\right)=0$

• A. $16$
• B. $31$
• C. $19$
• D. $17$

Answer 1

The correct option is B $31$

${\log }_{\sqrt{2}}\left({\log }_2\right({\log }_4(x-15)\left)\right)=0\Rightarrow {\log }_2\left({\log }_4\right(x-15\left)\right)=1\Rightarrow {\log }_4(x-15)=2\Rightarrow x-15=16$
$\Rightarrow x=31$