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#1 2011-05-26 03:57:19

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Need help with those logarithms.

Need help about this problem. I almost got it but I must have messed it up somewhere.
We have a system of two eqations:

Last edited by anonimnystefy (2011-05-26 04:25:00)


“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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#2 2011-05-26 04:26:50

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi anonimnystefy,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#3 2011-05-26 04:36:25

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Need help with those logarithms.

thought so but it's different in the solution. maybe the solution is wrong.thanks anyway.

what about this:

Last edited by anonimnystefy (2011-05-26 04:36:59)


“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.

Offline

#4 2011-05-26 04:42:44

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

When your final answer fits in the equation you needn't worry!

Hmmm, square root of a logarithm is a bit counter-intuitive to me. I'll try anyway.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#5 2011-05-26 05:12:18

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Need help with those logarithms.

. . . . . . . . . . .


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. . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . .

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. . . . . . . . . . . . . . .

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. .



.

I see that gAr beat me to it . . . *sigh*

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#6 2011-05-26 05:26:47

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi soroban,

Your solution is much more clear than I can possibly explain.
It would definitely help beginners to logarithms.



Hi anonimnystefy,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#7 2011-05-28 02:53:00

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Need help with those logarithms.

hi gAr and soroban,
you helped me a lot.
but i have to ask you what the logarithm of a negative number is if the baseof the algorithm is not e=2,7.


“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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#8 2011-05-28 03:43:36

Bob
Administrator
Registered: 2010-06-20
Posts: 10,583

Re: Need help with those logarithms.

hi anonimnystefy

The normal graph of logarithmic functions would suggest that you cannot have the log of a negative.

But that hasn't stop mathematicians!  Just as with the square root of minus one it is posible to use complex numbers for this task.

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

When the others come back on line they'll probably fill in any details if you are left with questions.

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 smile

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#9 2011-05-28 04:15:49

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi anonimnystefy,

You already know to take log of a negative number when base is e?
Anyway, an example:


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#10 2011-05-28 05:30:02

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Need help with those logarithms.

hi gAr,
thanks for the explanation
i think that if the base is e then it would be:


“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 2011-05-28 05:36:52

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi,

You're welcome.
Yes, but I use the convention log(a) to mean ln(a), if base is not mentioned.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#12 2011-05-28 05:55:01

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Need help with those logarithms.

hi gAr,
do you maybe know how the number e was found?


“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.

Offline

#13 2011-05-28 05:56:33

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Need help with those logarithms.


“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.

Offline

#14 2011-05-28 06:12:28

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi,

I only know e, its definition, haven't browsed much on its history...

And your infinite power doesn't converge: So answer is infinity.

I'm taking a break, see you later!

Last edited by gAr (2011-05-28 06:13:03)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#15 2011-05-28 16:28:01

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Need help with those logarithms.

Hi anonimnystefy,

instead, try:


or


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

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