log likelihood

I am not able to understand how this came of . Would someone help me in this?

 

This follows from the expression for the likelihood given on page 15 of the chapter (the one that is the product from j = 1 to k of terms involving lambda j).

You take logs of that expression and use the log laws:

log(abc) = log(a) + log(b) + log(c)
log(a^b) = b*log(a)

 

Oh, i got it. Thanks a ton