Answer:
The simplified expression is:
[tex]\frac{\ln{(x + y)}}{2}[/tex]
Step-by-step explanation:
We have those following logarithmic properties:
[tex]\ln{\frac{a}{b}} = \ln{a} - \ln{b}[/tex]
[tex]\ln{a*b} = \ln{a} + \ln{b}[/tex]
[tex]\ln{a^{n}} = n\ln{a}[/tex]
In this problem, we have that:
[tex]\ln{(x + y)^{\frac{1}{2}}[/tex]
[tex]\frac{\ln{(x + y)}}{2}[/tex]
So the simplified expression is
[tex]\frac{\ln{(x + y)}}{2}[/tex]
