Math Is Fun Forum

Leroy

Guest

Logarithm

Can one do logarithm of imaginery number?please explain.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,648

Re: Logarithm

hi Leroy,

Yes you can.  See

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

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Leroy

Guest

Re: Logarithm

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Logarithm

Hi;

http://ndp.jct.ac.il/tutorials/complex/node26.html

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Leroy

Guest

Re: Logarithm

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Logarithm

Hi;

That is correct. Very good!

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Leroy

Guest

Re: Logarithm

Thank you a lot.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Logarithm

Hi;

You are welcome!

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.