Question

HELP!!! 20 POINTS!!! URGENT!!!

Answer 1

We know that :

`\clubsuit`
`ln(A) - ln(B) = ln((A)/(B))`

`\clubsuit`
`aln(x) = ln(x)^a`

`\clubsuit`
`ln(A) + ln(B) = ln(AB)`

Using above ideas we can solve the Problem :

⇒
`(3)/(8)ln(x + 3) = ln(x + 3)^(3)/(8)`

⇒
`ln(x - 3) - ln(x + 3)^(3)/(8) = ln[((x - 3))/((x + 3)^(3)/(8))]`

⇒
`4ln[((x - 3))/((x + 3)^(3)/(8))] = ln[((x - 3))/((x + 3)^(3)/(8))]^4 = ln[((x - 3)^4)/((x + 3)^(3)/(2))]`

⇒
`(1)/(3)lnx + ln[((x - 3)^4)/((x + 3)^(3)/(2))] = ln(x)^(1)/(3) + ln[((x - 3)^4)/((x + 3)^(3)/(2))] = ln[\frac{\sqrt[3]{x}(x - 3)^4}{\sqrt{(x + 3)^(3)}}]`

Option 3 is the Answer