title: if log n^2 is big theta of log n , is (logn)^2 also big theta of logn?
body: <p><code>log n^2</code> is equivalent to <code>2logn</code> which grows at the same rate as <code>logn</code>, as I disregard the factors and constants. but if I was to square the whole term so that I end up with <code>(logn)^2</code> is it also big theta of <code>logn</code>? </p>