# Curious Mathematical Problem

Aug 31, 2018

Let us consider the following equation:

Prove that

*x*= log(Pi) = 1.14472988584... is a very good approximation of a solution, up to 10 digits.- Using high performance computing or other means, prove that it is correct up to 1,000 digits.
- Is
*x*= log(Pi) an exact solution?

If the answer to the last question is positive, this would mean that log(Pi) is NOT a transcendental number, but rather, an algebraic number. A remarkable result in itself!

*Source for picture: algebraic numbers*

**Solution**

Any real number larger or equal to 1 is a solution, so there is nothing particular with log(Pi).

*For related articles from the same author, click here or visit www.VincentGranville.com. Follow me on on LinkedIn, or visit my old web page here.*

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