Compute the following values when the log is defined by its principal value on the open set U equal to the plane with the positive real axis deleted. a. log i
b. log(-1)
c. log(-1 + i)
d. i^i
e. (-i)^i

Following are the answer to this question:

Step-by-step explanation:

The principle vale of Arg(3)

The principle value of the

So, the principle value:

a)

b)

Principle value:

c)

The principle value:

d)

The principle value:

e)

In this we calculate the principle value from b:

so, the final value is

f)

and the principle value of w is =

g)

from the point f the principle value is:

h)

it has the same slope and a different y-intercept

hope this : )

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