Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

complex log (basic)

Let

Show that

is a logarithm of

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: complex log (basic)

Always go off the definition for complex log.  Typically if you try to do anything else, you'll make mistakes.

So what we want to show is that

Now Euler's identity and you should be done.

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: complex log (basic)

thx ricky