This assignment asked me to find the maximum likelihood estimator for theta. I think I went wrong somewhere, but can't seem to find it. Does anyone see what I've done wrong?
Hint: When you calculate the log likelihood remember that ln(ab) = ln(a) + ln(b) and ln(a/b) = ln(a) - ln(b).
You should get things to translate to sums instead of products (this is in fact why log-likelihood is used).