Question

Find the value of $t$ for the given expression ${\log }_2\left[{\log }_3\right(\log 2t\left)\right]=1$

• A. $512$
• B. $128$
• C. $1024$
• D. None

Answer 1

The correct option is A $512$

${\log }_2\left({\log }_3\right({\log }_{2}t\left)\right)=1$

$\Rightarrow {\log }_3\left({\log }_{2}t\right)=2^1=2$

$\Rightarrow {\log }_{2}t=3^2=9$

$\Rightarrow t=2^9=512$