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Complex logarithm
Describe log z.
Solution
The complex logarithm represents the invrse function to complex exponetial function.
log z = ln r + i*theta
r is the absolute value of the complex number z.
z = x + i*y
r = |z| = sqrt(x^2 + y^2)
theta = argument of the complex number z
theta = y/x

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Complex logarithmDescribe log z.SolutionThe complex logarith.pdf

  • 1. Complex logarithm Describe log z. Solution The complex logarithm represents the invrse function to complex exponetial function. log z = ln r + i*theta r is the absolute value of the complex number z. z = x + i*y r = |z| = sqrt(x^2 + y^2) theta = argument of the complex number z theta = y/x