Question

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

In(x + y)1/2

Answer 1

The simplified expression is:

`(ln((x + y)))/(2)`

Explanation:

We have those following logarithmic properties:

`\ln{(a)/(b)} = ln(a) - ln(b)`

`ln(a*b) = ln(a) + ln(b)`

`\ln{a^(n)} = nln(a)`

In this problem, we have that:

`\ln{(x + y)^{(1)/(2)}`

`(ln((x + y)))/(2)`

So the simplified expression is

`(ln((x + y)))/(2)`