20-Turquoise

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

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Hello Everyone,

(1).PNG

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

Thanks in advance for your time and help.

Regards.

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LucMeekesAnswer

23-Emerald V

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

23-Emerald V

Success!
Luc

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Answer

23-Emerald V

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

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21-Topaz II

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21-Topaz II

For clarity, here below, I rewrite all calculations:

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25-Diamond I

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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