> For the complete documentation index, see [llms.txt](https://stephanosterburg.gitbook.io/scrapbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://stephanosterburg.gitbook.io/scrapbook/math/mit-intro-to-algorithms/lecture-1-algorithmic-thinking-peak-finding.md).

# Lecture 1: Algorithmic Thinking, Peak Finding

$$log(n^{100}) => \Theta(logN)  == 100log(n)$$ --> power becomes constant

$$log\_5(n) => \Theta(log N) == \frac{log(N)}{log\_5}$$--> log of 5 becomes denominator&#x20;
