Question

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

In x + 1/y

Answer 1

The simplified expression is:

`ln((x + 1)) - ln(y)`

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+1)/(y))}`

`ln((x + 1)) - ln(y)`