Read the following proposition and then answer the questions which follow: Proposition. If z and w are nonzero complex numbers, then log zw = log z + log w. (a) How is this equality to be interpreted? (b) Why is it necessary that we specify how this equality is to be interpreted? (c) How do we know that In|zw| +i arg zw = In |2|+ i arg z + In |w| +i arg uw? (d) Is it always true that Log zw = Log z + Log w? %3D

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