Answer
$$2$$
Work Step by Step
We simplify as follows:
$$\log_2 (\log_3 81)= \log_2 ( \log_33^4)= \log_2 (4\log_33)=\log_2(4(1))=\log_24=\log_22^2=2\log_22=2(1)=2$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.