Maximum Likelihood Estimator

Hi all,

I have been going through a practice paper for an exam I have on Friday and have found a question that I don't think we've been taught. Could anyone shed some light on the following question:

Quote:

Let *x*1,*x*2,....,*x*nbe a random sample from a population whose probability density is given by

$\displaystyle f(x) = \theta x^ {\theta - 1}, 0<x<1, \theta>1$

Show that the maximum likelihood estimator of 1/*q* is -Sln *x$\displaystyle _i$*/*n*, and that this estimator is unbiased.

I'm not asking for the question to be solved, but if someone point me in the right direction, I'd be very grateful.

Thanks in advance,

ft_fan