12. Read the following proposition and its proof on p.97 and then answer the questions which follow: a Proposition. If :
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12. Read the following proposition and its proof on p.97 and then answer the questions which follow: a Proposition. If :
12. Read the following proposition and its proof on p.97 and then answer the questions which follow: a Proposition. If : and w are nonzero compler numbers, then log zu = log 2 + 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 |zul + i arg zw = In 1:1 + i arg z + Inw+i arg w? (d) Is it always true that Log zw = Log 2 + Log w?
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