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#1 2012-10-21 16:36:17

Leroy
Guest

Logarithm

Can one do logarithm of imaginery number?please explain.

#2 2012-10-21 19:47:44

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,426

Re: Logarithm

hi Leroy,

Yes you can.  See

http://en.wikipedia.org/wiki/Complex_logarithm

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2012-10-21 23:30:27

Leroy
Guest

Re: Logarithm

There is no example in that link,it will be great if you show an example

#4 2012-10-21 23:54:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Logarithm


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2012-10-22 00:01:50

Leroy
Guest

Re: Logarithm

So,let me try, is this correct
ln(3+4i)=ln5+atan(4/3)i

#6 2012-10-22 00:12:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Logarithm

Hi;

That is correct. Very good!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2012-10-22 01:56:00

Leroy
Guest

Re: Logarithm

Thank you a lot.

#8 2012-10-22 03:37:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Logarithm

Hi;

You are welcome!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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