Question

How do you condense `(1/4)ln(2) + (1/2)ln(3)`?

Answer 1

`1/4ln(2) + 1/2ln(3)=ln(18)/4`

Explanation:

Using the properties that

• `aln(b) = ln(b^a)`
• `ln(a)+ln(b) = ln(ab)`

`1/4ln(2) + 1/2ln(3) = (ln(2)+2ln(3))/4`

`=(ln(2)+ln(3^2))/4`

`=ln(2*9)/4`

`=ln(18)/4`