Answer
As the exponent x nears $\sqrt{3}$, the value of $2^{x}$ gets closer and closer to $2^{\sqrt{3}}.$
Work Step by Step
$2^{1.7}\approx 3.2490096$
$2^{1.73}\approx 3.3172782$
$2^{1.732}\approx 3.3218801$
$2^{1.73205}\approx 3.3219952$
$2^{1.7320508}\approx 3.3219971$
$2^{\sqrt{3}}\approx 3.3219971$
As the exponent $x$ nears $\sqrt{3}$, the value of $2^{x}$ gets closer and closer to $2^{\sqrt{3}}.$
