Identities involving logarithms

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a) Show that if Re z1 > 0 and Re z2 > 0, then Log (z1z2) = Log z1 + Log z2

b) By choosing specific nonzero values of z1 and z2, show that expression "log(z1/z2) = log z1 - log z2" , for log (z1/z2) is not always valid when log is replaced by Log.

Reference no: EM13117699

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