Given following equation $1444 = ln(p) * ln(ln(p))$. How do I solve this equation for p? I found (through WolframAlpha) that $p$ should be equal to $6.29*10^{112}$, but I can't seem to find a way to find this result algebraically.
Asked
Active
Viewed 218 times
2
-
1There is no such way. You need numerical methods or the Lambert-W-function. – Peter May 22 '18 at 15:04
-
1I think you need numerical methods to find it – The Integrator May 22 '18 at 15:06
-
4Let $x=\ln p$ then you have $1444=\ln x^x$. Now check this post: https://math.stackexchange.com/questions/54210/is-xx-y-solvable-for-x – Vasili May 22 '18 at 15:08
-
Thanks! I already suspected that there's no obvious way to solve this. Thank you :) – Pieter Verschaffelt May 23 '18 at 14:06