Find all values of the logarithm of each of the following numbers and state in each case the principal value. Put your answer in the form a+ib.(a) -sqrt(3) +

i

this is what i done but dont know if correct and dont know how to continue so please help!

log(-sqrt(3) +i )= Log(2) + i(-pi/6 + 2kpi)

but what is the principal value and is it in the form of a + ib

(b)e^i

log(e^i)= i + i(2kpi) = i( 1+ 2kpi)

???

and also what are the principal values and the form of a + ib