Simplify/Condense log base 2 of 9+1/2 log base 2 of y

$\log_{2} (9) + \frac{1}{2} \log_{2} (y)$

Simplify $\frac{1}{2} \log_{2} (y)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log_{2} (9) + \log_{2} (y^{\frac{1}{2}})$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{2} (9 y^{\frac{1}{2}})$