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02-02-2017
09:44 PM

02-02-2017
09:44 PM

Hello Everyone,

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

Thanks in advance for your time and help.

Regards.

Solved! Go to Solution.

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1 ACCEPTED SOLUTION

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02-03-2017
07:12 AM

02-03-2017
07:12 AM

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

5 REPLIES 5

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02-03-2017
02:25 AM

02-03-2017
02:25 AM

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

Success!

Luc

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02-03-2017
07:12 AM

02-03-2017
07:12 AM

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

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02-03-2017
04:39 AM

02-03-2017
04:39 AM

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

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02-03-2017
09:27 AM

02-03-2017
09:27 AM

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

For clarity, here below, I rewrite all calculations:

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02-03-2017
03:56 PM

02-03-2017
03:56 PM

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

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!