A small logarthamic question

[XWTBSILT]

This is question 7 in m/j 08

can someone solve it form here

[x + 0.5ln(x+1) - 1.5ln(x+3)]
limits are from 3 to 0
Please include every step even the simplest and the samllest one.
thanx

 

[Zazzyo]

is this from p3?....

 

[XWTBSILT]

Yup

 

[Zazzyo]

7 is of partial fractions :S

 

[XWTBSILT]

Yah i cann do that part but my prob lies in solving the equation
wat im asking is for someone to solve this

 

[mzzzz]

(3+ 1/2 ln4 - 3/2 ln6) - (O + 1/2 ln1 - 3/2 ln3)
= [3 + ln2 - ln 6^(3/2) ] - [0 + 0 - ln 3 ^ (3/2) ]
= 3 + ln2 - ln 6^(3/2) + ln 3 ^ (3/2)
= 3 + ln [ 2 x 3 ^ (3/2) / 6^(3/2) ]
= 3 + ln [ 2 / 2 ^ (3/2) ]
= 3 + ln [ 2 ^ (-1/2)]
= 3 - 1/2 ln2

 

[mzzzz]

u juz had to use the rules of logarithmz in this question
should u require further assistance, feel free to ask