Complex Natural Logarithm

By Kardi Teknomo, PhD .
ComplexNumber


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Logarithm of a Complex Number

Suppose Complex Number Tutorial: What is Complex Number? is a complex number. We can perform natural logarithm of the complex number is a complex number. We can perform natural logarithm of the complex number

Complex Number Tutorial: What is Complex Number?

Since Complex Number Tutorial: What is Complex Number? is only determined only up to multiple of 2PI, the complex natural logarithm has infinitely many values.

Properties of Complex Logarithm

If Complex Number Tutorial: What is Complex Number? and Complex Number Tutorial: What is Complex Number? are complex numbers then

  • Addition of logarithm: Complex Number Tutorial: What is Complex Number?
  • Subtraction of logarithm: Complex Number Tutorial: What is Complex Number?
  • General Power: Complex Number Tutorial: What is Complex Number?
  • Root: Complex Number Tutorial: What is Complex Number?

See Also : Complex Exponent , Complex Power , Complex Root

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