(c) Show that if ₁ = |z| then |z| = 1 or 2 = 0. Hence or otherwise, find all complex solutions to the equation = |z|. (Hint: Use the exponential form.)

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Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 15E
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(c) Show that if ₁ = |z| then |z| = 1 or 2 = 0. Hence or otherwise, find all complex
solutions to the equation = |z|. (Hint: Use the exponential form.)
Transcribed Image Text:(c) Show that if ₁ = |z| then |z| = 1 or 2 = 0. Hence or otherwise, find all complex solutions to the equation = |z|. (Hint: Use the exponential form.)
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