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lvl10720-Turquoise
20-Turquoise
February 3, 2017
Solved

How to solve [e^x*1i]^1i = e^pi ?

  • February 3, 2017
  • 3 replies
  • 3235 views

   Hello Everyone,

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  How to solve [e^x*1i]^1i = e^pi ?

      Thanks in advance for your time and help.

           Regards.

Best answer by LucMeekes

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

3 replies

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LucMeekes23-Emerald IV
23-Emerald IV
February 3, 2017

Success!
Luc

L
LucMeekes23-Emerald IVAnswer
23-Emerald IV
February 3, 2017

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

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-MFra-21-Topaz II
21-Topaz II
February 3, 2017

Loile2.jpg

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-MFra-21-Topaz II
21-Topaz II
February 3, 2017

For clarity, here below, I rewrite all calculations:

Loile3.jpg

Loile5.jpg

W
Werner_E25-Diamond I
25-Diamond I
February 3, 2017

As nobody said that x must be a real number, the complete solution seems to be

and (no surprise) Mathcad/MuPad is not able to find that solution - at least not without much help

In fact, the symbolics is not even able to simplify a valid solution like x= -7pi+i*6pi completely

but at least it knows (when explicitly asked) the the expression simplifies to e^pi

Fazit (one more time): Mathcad is not the right tool for tasks like this!

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