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Bookmark or Share- The difference between log and ln - Mathematics Stack Exchange$\begingroup$ Since the default base of log can vary between and even within fields, seems a good rule of thumb is to treat ln as loge (of course), and log as unknown (re: base-2/10/e/whatever) until you confirm the context. If calculating or programming, check a test result before making assumptions.
- Why is $\\log(n!)$ $O(n\\log n)$? - Mathematics Stack ExchangeStack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
- Log of a negative number - Mathematics Stack ExchangeStack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
- When log is written without a base, is the equation normally referring ...$\log (x)$ refers to $\log_2 (x)$ in computer science and information theory. $\log(x)$ refers to $\log_e(x)$ or the natural logrithm in mathematical analysis, physics, chemistry, statistics, economics, and some engineering fields. $\log(x)$ refers to $\log_{10}(x)$ in various engineering fields, logarithm tables, and handheld calculators.
- taylor series of $\\ln(1+x)$? - Mathematics Stack ExchangeNote that $$\frac{1}{1+x}=\sum_{n \ge 0} (-1)^nx^n$$ Integrating both sides gives you \begin{align} \ln(1+x) &=\sum_{n \ge 0}\frac{(-1)^nx^{n+1}}{n+1}\\ &=x-\frac{x^2 ...
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