Question

If $\sqrt{2^{x-3}}=16$, then the value of x is

• A. 5
• B. 4
• C. 8
• D. 11

Answer 1

The correct option is D 11

$\because \sqrt{2^{x-3}}=16$
Squaring both sides,
$2^{x-3}=256\Rightarrow 2^{x-3}=2^8$
$\Rightarrow x-3=8$
$\therefore x=11$.