How To Compare Transcendentals?

Calculus Level 3

\[\large 3^{\pi e} , \pi^{3 e} , e^{3 \pi}\]

Compare the above terms.

\[e^{3 \pi} < \pi^{3e} < 3^{\pi e}\] \[\pi^{3e} < e^{3 \pi} < 3^{\pi e}\] \[\pi^{3e} < 3^{\pi e} < e^{3 \pi}\] \[3^{\pi e} < \pi^{3 e} < e^{3 \pi}\] \[e^{3 \pi} < 3^{\pi e} < \pi^{3e}\] \[3^{\pi e} < e^{3 \pi} < \pi^{3e}\]

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