${\log }_e(1+i)$এর সর্বাধিক সঠিক মান কোনটি?

$\frac{1}{2}{\log }_{e}2+\frac{\mathrm{\pi }}{4}i$

$2{\log }_{e}2+\frac{\mathrm{\pi }}{4}i$

$\frac{1}{2}{\log }_{e}2-\frac{\mathrm{\pi }}{4}i$

$\frac{1}{2}{\log }_{e}2+(2n+\frac{1}{2}) \mathrm{\pi i} \mathrm{where} \mathrm{n} \mathrm{is} \mathrm{an} \mathrm{interger}$

$\frac{{\displaystyle 1}}{{\displaystyle 2}}{\log }_{\mathrm{e}}2+(\mathrm{n}+\frac{{\displaystyle 1}}{{\displaystyle 4}}) \mathrm{\pi i} \mathrm{where} \mathrm{n} \mathrm{is} \mathrm{an} \mathrm{interger}$