Evaluate the principal value of Log(1−i)\text{Log}(1-i)Log(1−i).
12ln2−iπ4\frac{1}{2}\ln 2 - i\frac{\pi}{4}21ln2−i4π
ln2+iπ4\ln 2 + i\frac{\pi}{4}ln2+i4π
12ln2+iπ4\frac{1}{2}\ln 2 + i\frac{\pi}{4}21ln2+i4π
ln2−iπ4\ln 2 - i\frac{\pi}{4}ln2−i4π