Find all values complex equation

alexcc17
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Homework Statement


i.5 - i


Homework Equations


zc=ec log(z)

z1/n=exp[(1/n) log(z)], n is in integer


The Attempt at a Solution



letting c=.5-i and z=i so

zc=e(.5-i) log(i) = e.5 log(i)*e-i log(i)

from the second equation I reduced it to:
i.5*e-i log(i) but I'm not sure where to go from there since the second known equation doesn't apply to the e^(-i log(i)) part
 
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alexcc17 said:

Homework Statement


i.5 - i


Homework Equations


zc=ec log(z)

z1/n=exp[(1/n) log(z)], n is in integer


The Attempt at a Solution



letting c=.5-i and z=i so

zc=e(.5-i) log(i) = e.5 log(i)*e-i log(i)

from the second equation I reduced it to:
i.5*e-i log(i) but I'm not sure where to go from there since the second known equation doesn't apply to the e^(-i log(i)) part

exp(log(i)*(.5-i)) is a good start. Now figure out what possible values log(i) could have.
 
I got it thanks though
 
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