Need help with C$.$

A$.$ Determine the real and imaginary part of the following:

$Ln(\sqrt[\phantom{2}]{3}+i),Ln(\sqrt[\phantom{2}]{3}-i),Ln(-\sqrt[\phantom{2}]{3}+i),Ln(-\sqrt[\phantom{2}]{3}-i)$

Remember Argument $($i$.$e$.)$ must satisfy $0||.$

B$.$ Evaluate ${\displaystyle \underset{a}{\overset{b}{}}}\frac{6}{z(Lnz{)}^2}dz.$ where $a=1-i\sqrt[\phantom{2}]{3}$ and $b=1+i\sqrt[\phantom{2}]{3}$

$($Hint: Let $u=Lnz,$ then write $z$ and dz in trms of $u).$

C$.$ Write a Taylor series for $Ln(z^2-4z+6)$

Hint: $z^2-4z+5$ can be written as $1+w($Write expression for $w).$ Next, write a Maclaurin series for $Ln(1+w).$ Then substitue for $w.$ What is the center for the resulting Taylor series?