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Answer:

I hope this helps-How to define a logarithmic unction-

Step-by-step explanation:

Therefore, the (multiple-valued) logarithmic function of a nonzero complex variable z=reiΘ is defined by the formula logz=lnr+i(Θ+2nπ)(n∈Z).

Some basic properties of the function logz are the following:

log(z1z2)=logz1+logz2.

log(z1z2)=logz1−logz2.

There may hold Log(z1z2)≠Logz1+Logz2.

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