Problem 5.1. Example 9.4 (4) tells us that it's not necessarily true that log 2" = n log2, for n E ZX Writing z = rei Ar
Posted: Thu May 12, 2022 6:30 am
Problem 5.1. Example 9.4 (4) tells us that it's not necessarily true that log 2" = n log2, for n E ZX Writing z = rei Argz, show that, where n E Zso log(21/1) Lint rti (Argz+2(pre + k)x), pez, k = 0,...,1–1. 11 11 Now, after writing 5 logz = FIT = Inr+i Arg z n 87+297), qez, 11 11 show that we have equality of sets log(zł/") = ? logz