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20-Turquoise

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

Hello Everyone,

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

Regards.

1 ACCEPTED SOLUTION

Accepted Solutions
23-Emerald III
(To:LucMeekes)

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

5 REPLIES 5
23-Emerald III
(To:lvl107)

Success!
Luc

23-Emerald III
(To:LucMeekes)

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

21-Topaz II
(To:lvl107)

21-Topaz II
(To:-MFra-)

For clarity, here below, I rewrite all calculations:

24-Ruby V
(To:lvl107)

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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