Can the number $\pi$ be expressed as $\ln a - \ln b$ and if so can $a, b \in \mathbb{Q}$?
2026-04-03 07:42:47.1775202167
Can $\pi$ be expressed as $\ln a - \ln b$ and if so can $a, b \in \mathbb{Q}$?
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if so we would get $$\pi=\ln\left(\frac{a}{b}\right)$$ and from here we get $$e^\pi=\frac{a}{b}$$ this is impossible if $a,b$ are rationals