bah, nooooooooo
you cant break the ln(a + b) into ln(a) + ln (b) that is not correct!!!!

you are thinking of ln(ab)=ln(a) + ln(b)
multiplication changes to addition, division changes to subtraction

http://www.mathwords.com/l/logarithm_rules.htm
for all rules

wait, thats not even quite what you are doing
whatever it is, line 2 is not correct from line 1
you cant split the ln(a+b) into anything else its in its basic form