Answer
3.1699
Work Step by Step
For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{2}9=x$ means the same as $2^{x}=9$.
By using a calculator to approximate, we know that $x=3.1699$, because $2^{3.1699}=9$.