Verify my homework solutions

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Homework Statement



Someone help to check my work. TQ.

Homework Equations



Handwritten solution on lined paper: principal values of Ln(4-3i) = ln 5 - 0.6435i and (5-2i)^(2-4i) in polar form, then all solutions of e^z = 1 - i as z = ln√2 + (-π/4 + 2πk)i.


The Attempt at a Solution



I have tried all these questions. :smile:
 
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  • Handwritten solution to a complex logarithm and exponential problem: Ln(4-3i) = ln 5 - 0.6435i, then (5-2i)^(2-4i) worked out in exponential form, then e^z = 1 - i solved as z = ln√2 + (-π/4 + 2πk)i.
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