Question: Problem 2 (a) Is it true that Log(z2) = 2Log(z) for any nonzero complex number z? (b) Let z EC {0}. Let n E N.

Problem 2 (a) Is it true that Log(z2) = 2Log(z) for any nonzero complex number z? (b) Let z EC\\ {0}. Let n E N. Show that all the values of log(z1/2) is the same as all the values of (1) log z. Hint: Consider writing z = red, where r = |z| and 0 = Arg(z)

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