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https://math.answers.com/math-and-arithmetic/Can_you_take_the_log_of_an_imaginary_number

Can you take the log of an imaginary number? - Answers

Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.



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Can you take the log of an imaginary number? - Answers

https://math.answers.com/math-and-arithmetic/Can_you_take_the_log_of_an_imaginary_number

Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.



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https://math.answers.com/math-and-arithmetic/Can_you_take_the_log_of_an_imaginary_number

Can you take the log of an imaginary number? - Answers

Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.

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      Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.

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