derlingasmh

Answered

2022-01-25

Natural log of a negative number

$\mathrm{ln}(-1)=\mathrm{ln}\left({e}^{i\pi}\right)=i\pi$

Answer & Explanation

Tapanuiwp

Expert

2022-01-26Added 13 answers

Context is important here. In the context of real numbers, negative numbers have no logarithms (and neither does 0) because

On the other hand, in the context of complex numbers, every complex number other than 0 has logarithms. In fact, any such complex number has infinitely many logarithms! You are right when you claim that

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