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 a…