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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…
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