Is log(x) = 10x? \(Jiawhein\)\(a\)\(l\)\(t\) 11:03, May 2, 2013 (UTC)
- No. The correct definition is: if x = 10a, then log(x) = a. -- I want more clouds! 11:08, May 2, 2013 (UTC)
- 10log(x)=x if x>0 and log(10x)=x for all x. LittlePeng9 (talk) 11:11, May 2, 2013 (UTC)
- Then what is log(x) equal to? \(Jiawhein\)\(a\)\(l\)\(t\) 12:08, May 2, 2013 (UTC)
- Unique real a such that 10a=x. LittlePeng9 (talk) 12:17, May 2, 2013 (UTC)
- Formal definition:
\[\log x = \frac{\ln x}{\ln 10} \text{ where } \ln x = \int_1^x \frac{dt}{t}\]
Thanks, but i did not see the hypercube 20 explain. \(Jiawhein\)\(a\)\(l\)\(t\) 05:51, May 3, 2013 (UTC)
Moduli of Double Exponentiation?[]
Does anyone know an efficient way to get a^a^c mod m (or a^b^c would be even better) for rational m? Also, should I add a section for regular modular exponentiation? EIG520 (talk) 01:30, 17 December 2022 (UTC)
- It is easily computed by combining Chinese remainder theorem and Euler's theorem. A related argument written by me is available at Tetration#Moduli of power towers.
- p-adic 17:41, 17 December 2022 (UTC)