Calculating complex logarithm I have to calculate the following log: a) log(-4) b) log (3i) I d

Emmy Dillon

Emmy Dillon

Answered question

2022-06-22

Calculating complex logarithm
I have to calculate the following log:
a) log(-4) b) log (3i)
I don't really know what to do..
a) l o g ( 4 ) = l o g | 4 | + i a r g ( 4 ) + 2 k i π = l o g 4 + ? ? + 2 k i π
b) l o g ( 3 i ) = l o g | 3 i | + i a ˙ r g ( 3 i ) + 2 k i π = l o g ( 3 ) + ? ? + 2 k i π

Answer & Explanation

Sage Mcdowell

Sage Mcdowell

Beginner2022-06-23Added 19 answers

HINT. Concerning the first question, you can note that
log(-4) = log(4 i^2) = log(4) + 2 log(e^(i Pi /2)) = log(4) + i Pi
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