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

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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 1 (33.86 KiB) Viewed 36 times

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