Answer:
A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Step-by-step explanation:
[tex]log\frac{\sqrt{xy}}{z}[/tex]
[tex]log\sqrt{xy}-log(z)[/tex]
[tex]log(xy)^\frac{1}{2}-log(z)[/tex]
[tex]\frac{1}{2}log(xy)-log(z)[/tex]
[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]
[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Therefore, A is correct
