- [[Natural Logarithm]] ### General --- ![[Pasted image 20250118123227.png|200]] ### Rules --- - product: $log_k(ab) = log_k(a) + log_k(b)$ - division: $log_k(\frac{a}{b}) = log_k(a) - log_k(b)$ - $log_u(x) = \frac{log_k(x)}{log_k(u)}$ - $u^{log_u(x)} = x = k^{log_k(x)}$ - $u = k^{log_k(u)}$ - $k^{log_k(u) * log_u(x)} = k^{log_k(x)}$ https://cses.fi/book/book.pdf