TITLE: A little question about logarithm
QUESTION [5 upvotes]: Can we say that $\log _4 (n^2)=\log _2(n)$? If that is the case, then $\displaystyle 2^{\log _4 (n^2)}=n$?
Thanks.

REPLY [3 votes]: And more generally,
$$
\log_b a = \log_{b^k} (a^k).
$$