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

SOLVED
lvl107
Opal

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

   Hello Everyone,

(1).PNG

  How to solve [e^x*1i]^1i = e^pi ?

      Thanks in advance for your time and help.

           Regards.

1 ACCEPTED SOLUTION

Accepted Solutions

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

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

View solution in original post

5 REPLIES 5

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

Success!
Luc

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

Just woke up.... Correction:

The solution contains only the odd multiples of pi.

Luc

View solution in original post

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

Loile2.jpg

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

For clarity, here below, I rewrite all calculations:

Loile3.jpg

Loile5.jpg

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!

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