Thread: complex numbers

hey i don't think this is the right thread but i couldn't find any other. can anyone help me with this question?

Find all solutions in the form z = x +iy for real x and y to the equations

i) z*3 = 2 + i

ii)iz*2 +2z = i - 1

iii) exp(z) = 1 + i

cheers!!

For i) and ii) you can proceed as for ordinary algebraic equations. For iii) the solution is ...

Kind regards

3) .

Taking logarithms to the base e.

Now, in the euler representation.

So, using this in the above equation,



i.e.