Question

In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of logarithms.

Answer 1

Answer:

The simplified expression is:

$\frac{\ln{(x + y)}}{2}$

Step-by-step explanation:

We have those following logarithmic properties:

$\ln{\frac{a}{b}} = \ln{a} - \ln{b}$

$\ln{a*b} = \ln{a} + \ln{b}$

$\ln{a^{n}} = n\ln{a}$

In this problem, we have that:

$\ln{(x + y)^{\frac{1}{2}}$

$\frac{\ln{(x + y)}}{2}$

So the simplified expression is

$\frac{\ln{(x + y)}}{2}$