Pi or Euler

Algebra Level 2

Which is greater :

π e or e π ? \pi^{e} \text{ or } e^{\pi} ?

Both are equal e π \large e^{\pi} π e \large \pi^e

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1 solution

Edwin Gray
Apr 8, 2019

ln(e^pi) = pi ln(e) = pi =3.14159....., ln(pi^e) = e ln(pi) = 2.71828*1.14473 = 3.11169.....so e^pi > pi^e

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