Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 453: 69

We notice that as the exponent of 2 approaches $\sqrt 3$, the value of the expression gets closer to $2^{\sqrt 3}$.

$2^{1.7}=3.24901$ $2^{1.732}=3.32188$ $2^{1.73205}=3.322$ $2^{1.7320508}=3.322$ We notice that as the exponent of 2 approaches $\sqrt 3$, the value of the expression gets closer to $2^{\sqrt 3}$.