- #1
m_s_a
- 88
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hi,
please help me
please help me
In Complex Numbers: Get Help Now
- Thread starter m_s_a
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Homework Help Overview
The discussion revolves around complex numbers, specifically focusing on the relationship between logarithmic and exponential forms. Participants are seeking to understand the proof of a particular identity involving complex numbers.
Discussion Character
- Exploratory, Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants emphasize the importance of showing work and attempts at solving the problem. There are inquiries about the relationship between logarithms and exponentials, as well as requests for clarification on expressing complex numbers in exponential form.
Discussion Status
The conversation is ongoing, with participants providing guidance on how to approach the problem. Some are encouraging the original poster to reflect on their understanding of logarithmic identities, while others are reiterating the need for an attempt to be shown before further assistance can be given.
Contextual Notes
There is a mention of forum rules requiring participants to demonstrate their thought process or attempts at the problem before receiving help. Additionally, there are constraints regarding the use of attachments for conveying information.
- #2
DavidWhitbeck
- 351
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Please show work attempting to the problem.
- #3
m_s_a
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DavidWhitbeck said:
I want the understanding of way that led us to this result
- #4
rohanprabhu
- 410
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@m s a: yeah.. we get that.. and what we need is that you show that you've solved something in this problem.. or atleast made an effort in this direction.
- #5
m_s_a
- 88
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rohanprabhu said:
If I was knowing the way to what asked
- #6
Hootenanny
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m_s_a,
According to the https://www.physicsforums.com/showthread.php?t=5374" you are required to show an attempt or detail your thoughts on a homework question before we can provide assistance.
You just have some idea how to prove the identity or else you wouldn't have been asked to prove it.
According to the https://www.physicsforums.com/showthread.php?t=5374" you are required to show an attempt or detail your thoughts on a homework question before we can provide assistance.
You just have some idea how to prove the identity or else you wouldn't have been asked to prove it.
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- #7
Dick
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m_s_a, if you are really blocked, tell us the relation between log and exp, and then reflect on it.
- #8
Dick
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m_s_a said:
Things would go much faster if you could convey simple information in some other way besides .bmp attachments. Those have to be approved before anyone can see them.
- #9
m_s_a
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Dick said:
like this:
- #10
Hootenanny
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m_s_a, can you write a general complex number, z, in exponential form?
- #11
HallsofIvy
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So you are saying
If y= ln(z) then z= ey
Now, if y= a+ bi, what is ey?
(and remember that ep+q= epeq)
If y= ln(z) then z= ey
Now, if y= a+ bi, what is ey?
(and remember that ep+q= epeq)
- #12
- #13
HallsofIvy
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Is there some reason why you insist upon posting attachments after you have been told its a bad idea?
It's not all that difficult to type:
(this would look much nicer in LaTex but I have typed it in ASCII)
z= |z|e^(i theta)
ln z= ln |z| e^(i theta) (Well, ln z= ln(z e^(i theta)) is correct)
ln z= ln |z|+ ln(e^i theta)
ln z= ln |z|+ i ln(theta)
i.e. log(z)= ln z
Assuming that your textbook has specified a convention that natural logarithm applied to complex numbers will be designated by "log", which is implied by the question itself, then it is not correct to write "ln z". Other than that, what you wrote is correct.
It's not all that difficult to type:
(this would look much nicer in LaTex but I have typed it in ASCII)
z= |z|e^(i theta)
ln z= ln |z| e^(i theta) (Well, ln z= ln(z e^(i theta)) is correct)
ln z= ln |z|+ ln(e^i theta)
ln z= ln |z|+ i ln(theta)
i.e. log(z)= ln z
Assuming that your textbook has specified a convention that natural logarithm applied to complex numbers will be designated by "log", which is implied by the question itself, then it is not correct to write "ln z". Other than that, what you wrote is correct.
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