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Old 25 June 2010, 12:57 AM
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velohead66
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Question Maths Problem - Rearrange Formula

Need some help re-arranging a formula.
I'm sure I used to be able to do them easily, but it's been sooooooo long.

I need to re-arrange.......
Y = X * R^N
......to N =

I get to ...
Y/X = R^N
but cant get any further

Is there some trick to swopping R^N to something like N^R

Last edited by velohead66; 25 June 2010 at 12:58 AM.
Old 25 June 2010, 01:17 AM
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tathan
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it's possibly

N= log˅R(Y/X)

which is

N=log˅R(Y) - log˅R(X)


Worrying how **** my maths has become really.

Last edited by tathan; 25 June 2010 at 01:18 AM. Reason: added which is bit
Old 25 June 2010, 01:34 AM
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Gregsti01
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Y/X=R to the power of N would it not give you y/x squared to the power of R =N ?
Old 25 June 2010, 08:24 AM
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LostUser
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Originally Posted by tathan
it's possibly

N= log˅R(Y/X)

which is

N=log˅R(Y) - log˅R(X)


Worrying how **** my maths has become really.
I think this is correct

http://oakroadsystems.com/math/loglaws.htm
Old 25 June 2010, 11:31 AM
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Y = X * R^N

Y/X = R^N

log (Y/X) = log (R^N)

log Y - log X = log (R^N)

log Y - log X = N log R

N = (log Y - log X) / log R
Old 25 June 2010, 01:12 PM
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RobJenks
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Originally Posted by AndyC_772
Y = X * R^N

Y/X = R^N

log (Y/X) = log (R^N)

log Y - log X = log (R^N)

log Y - log X = N log R

N = (log Y - log X) / log R

Andy you are correct - Come on down !
Old 25 June 2010, 01:48 PM
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Leslie
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There must be more to life than that!

Les
Old 25 June 2010, 04:40 PM
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AndyC_772
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<hangs head>

I'm an engineer....
Old 25 June 2010, 04:49 PM
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dunx
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I perspire to be one, but that's plain mathematics...

dunx

P.S. Tired and hungry, didn't help !
Old 25 June 2010, 04:56 PM
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Alg
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Originally Posted by AndyC_772
Y = X * R^N

Y/X = R^N

log (Y/X) = log (R^N)

log Y - log X = log (R^N)

log Y - log X = N log R

N = (log Y - log X) / log R
I'm genuinely in awe of that.
Could you give me an example where it could be put to a practical use, just so I can convince myself I should've paid more attention at school.
I haven't got a clue what that all relates to.
Old 25 June 2010, 05:43 PM
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AndyC_772
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Much as I hate to say it, the most useful thing I've ever got out of this sort of academic work is qualifications that look good on my CV. Without them it's hard to get a job in science, engineering or other technical areas, even if you never actually use those skills once you've got the job.

I probably spend no more than 10-20% of my time at work actually doing 'serious' development. The rest is spent dealing with suppliers, producing documentation, building prototypes and other stuff that doesn't need any great technical skill. But I'd never have got the job without a degree.

Sometimes that stuff really is useful, of course, and some people will use it every day. (Maybe the OP could give us a clue as to what that particular equation describes?)

One example I do use is the equation which models how a capacitor charges and discharges. Capacitors are used in electronics to remove unwanted electrical noise, provide time delays so things can happen at defined speeds, to isolate different parts of a circuit while allowing signals to pass between them, and numerous other uses. One governing equation is: Vc = V0 (1 - e^(-t/RC)), and it's solved using logarithms.
Old 26 June 2010, 05:29 PM
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Leslie
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Originally Posted by AndyC_772
<hangs head>

I'm an engineer....
I was joking really, I could not remember how to do it anyway!

Les
Old 26 June 2010, 07:03 PM
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Alg
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Originally Posted by AndyC_772
One example I do use is the equation which models how a capacitor charges and discharges. Capacitors are used in electronics to remove unwanted electrical noise, provide time delays so things can happen at defined speeds, to isolate different parts of a circuit while allowing signals to pass between them, and numerous other uses. One governing equation is: Vc = V0 (1 - e^(-t/RC)), and it's solved using logarithms.
Nope, still no good.

Thanks for taking time to answer though.
Old 28 June 2010, 05:01 AM
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velohead66
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Originally Posted by AndyC_772
Sometimes that stuff really is useful, of course, and some people will use it every day. (Maybe the OP could give us a clue as to what that particular equation describes?)
Most obscure maths is relevant to some real life application, but most of what we learn in school NEVER gets used. Certainly in my case.
But, quite often, stuff i did donkeys years ago comes up once in a while.



The original equation relates to growth (of say a financial asset).
y = x * (1+r)^n

where....
y = sale price
x = purchase price
n = number of periods (eg 10 for 10 years)
r = growth rate

so, if you buy a house for x, sell for y, and held for 10 years, then r is your growth.


But of course my algerbra is somewhat diminished these days.

I thought the answer was something to do with log, but even that area of maths has all evapourated from my brain over the years too, as the last time I used a log was at least 15 years ago. D'oh!

Thanks for the answer(s) though, do appreciate it, guys.

Last edited by velohead66; 29 June 2010 at 04:22 AM. Reason: Ooops, spelling and BBCode
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