e-z-1-3-i-z-

Question Number 48224 by gunawan last updated on 21/Nov/18

e^{z} = 1 - \sqrt{3} i

z = . .

Answered by Smail last updated on 21/Nov/18

z = l n (1 - \sqrt{3} i) = l n (2 (\frac{1}{2} - i \frac{\sqrt{3}}{2}))

= l n 2 + l n (e^{- i \frac{π}{3}}) = l n 2 - i \frac{π}{3}

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