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*