Assume that $T(n) = 2T(\sqrt{n}) + \log_2 n$. If counter = $\Theta(n^k (\log n)^c (\log \log n)^r)$, what is $c + k + r$ rounded to the nearest hundredth? (If the Master Theorem cannot be used on this recurrence, use the answer -1.)
HINT: After staring blankly at the question for approximately 30 seconds, make the substitution $n = 2^x$ and create a new recurrence.