A transcendental equation

Question:A transcendental equation

Posted: Jean-Michel 65 Product: Maple

6 hours ago

Hello Ladies and Gents :)

x^Pi=Pi^x

Maple returns two reals solutions :

solve(Pi^x = x^Pi, x);
/ ln(Pi)\
Pi LambertW|- ------|
\ Pi /
- ---------------------, Pi
ln(Pi)

evalf(%);
2.382179087993016, 3.141592653589793

ouf Pi is a solution :)

but Mathematica returns 3 solutions : 2 reals and 1 complex :

see the attached pdf.

Is there a way to force Maple to return these 3 solutions?

thank you.

Jean-Michel

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