Math Is Fun Forum
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#1 2011-08-11 02:29:27
Log
If Log p + Log q= Log (p+q)
Then what is the relationship between p & q?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#2 2011-08-11 02:35:58
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Log
Hi;
I am getting:
Take the exponential of both sides.
There may be other solutions!
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.
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#3 2011-08-11 03:17:52
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,646
Re: Log
hi Agnishom and bobbym,
What bobbym has said holds good whatever log base you are using providing all three logs are the same base throughout the equation.
Furthermore, as log is an increasing function I think bobbym's answer is the only one.
Bob
ps. also providing neither p nor q is equal to 1.
Last edited by Bob (2011-08-11 03:19:52)
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 
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#4 2011-08-12 01:01:54
Re: Log
What may b othr answers
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#5 2011-08-12 01:08:37
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Log
Hi;
There may be other solutions!
Bob does not think there are any others ( he has a point ) and I can not find any others. Maybe that statement was too cautious.
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.
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#6 2013-03-06 19:38:07
Re: Log
How did you get rid of e on the second line RHS
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#7 2013-03-06 20:17:14
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,646
Re: Log
hi Agnishom
There are two rules being used here.
and
Bob
Last edited by Bob (2013-03-06 23:16:49)
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
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#8 2013-03-06 21:40:42
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Log
Hi Bob
The LaTeX command for that is \Leftrightarrow.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#9 2013-03-06 21:55:14
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,646
Re: Log
Thanks Stefy,
I thought that was what I typed but maybe not.
Bob
Last edited by Bob (2013-03-06 23:17:11)
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
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#10 2013-03-06 21:56:41
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Log
You need a big L to get the equivalence arrow.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#11 2013-03-06 23:17:33
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,646
Re: Log
Thanks again.
Bob
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
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#12 2013-03-06 23:19:32
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Log
You are welcome!
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#13 2013-03-07 01:55:12
Re: Log
I understand now
Thanks bob bundy
Isn't thinkng about e a redundancy over here?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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