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Let z be a non-zero complex number. Then Log(z²) = 2Logz

Let z be a non-zero complex number. Then Log(z²) = 2Logz

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I. X D f(z) is equal to the above Let z be a non-zero complex number. Then Log(z²) = 2Logz if -TTSArg(z)s0 if OsArg(z)<n None of these if -T/2<Arg(z)s0 for all complex numbers Let f be an entire function that is not constant with the property that |f(2)l>e for all complex numbers z. Then f is an exponentia' ction such a function does not exist
Transcribed Image Text:I. X D f(z) is equal to the above Let z be a non-zero complex number. Then Log(z²) = 2Logz if -TTSArg(z)s0 if OsArg(z)<n None of these if -T/2<Arg(z)s0 for all complex numbers Let f be an entire function that is not constant with the property that |f(2)l>e for all complex numbers z. Then f is an exponentia' ction such a function does not exist
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