Question

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

In 3/2

Answer 1

`Ln((3)/(2) )=Ln(3)-Ln(2)`

Explanation:

The property of the logarithms that can be used for this expression is:

`Ln((A)/(B) )=Ln(A)-Ln(B)`

in this case we have

`Ln((3)/(2))`

so
`A=3` and
`B=2`

so we rewrite the expression as a difference using
`Ln((A)/(B) )=Ln(A)-Ln(B)`:

`Ln((3)/(2) )=Ln(3)-Ln(2)`