Errr, what?
natural log grows slower than sqrt(n)<p><a href="http:&#x2F;&#x2F;www.wolframalpha.com&#x2F;input&#x2F;?i=sqrt%281e55%29+%3E+log%281e55%29" rel="nofollow">http:&#x2F;&#x2F;www.wolframalpha.com&#x2F;input&#x2F;?i=sqrt%281e55%29+%3E+log%...</a>