Question

If ${\log }_3\left({\log }_{2}x\right)=1$ then value of x is

• A. 6
• B. 2
• C. 3
• D. 8

Answer 1

The correct option is D 8

Given,

${\log }_3\left({\log }_2\left(x\right)\right)=1$

$If{\log }_a\left(b\right)=cthenb=a^c$

$\Rightarrow {\log }_2\left(x\right)=3^1$

$\Rightarrow x=2^{3^1}$

$\therefore x=8$