Solve this equation for x
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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Folks,
Please solve this equation for x and let me know your answer:
x = 240.7263/(7.591386/log10(67.04/6.116441)-1)
Note: The -1 at the end is an exponent.
I get a result that does not agree with the textbook, but I may be making an error.
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Location: Wangaratta, VIC
Member since 21 February 2009
Member #: 438
Postcount: 5474
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Did you work out what was in the brackets first? Strange way of putting the equation? Almost looks like an escapee from a "slide rule" (got two)
log base 10 is the common logarithms.
Marc
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Location: Melbourne, VIC
Member since 5 October 2009
Member #: 555
Postcount: 467
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-32.97
Ian
‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
Cheers,
Ian
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Administrator
Location: Naremburn, NSW
Member since 15 November 2005
Member #: 1
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No result will come from me unfortunately. Equations were probably my weakest point in maths at school and maths was generally a subject I loathed apart from geometry.
‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
A valve a day keeps the transistor away...
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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Location: Melbourne, VIC
Member since 5 October 2009
Member #: 555
Postcount: 467
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Hi GTC,
I will check my calculation, but it shouldn't be a difficult equation to solve. Also did it "inside out" with Excel. Could be interpretation of formula from the text. Can you email the actual text?
Cheers,
Ian
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Cheers,
Ian
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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Okay, image of text emailed. (two graphics).
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Location: Melbourne, VIC
Member since 5 October 2009
Member #: 555
Postcount: 467
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GTC,
The equation is open to various interpretations.
I intrepreted the exponent as log{(X)-1} .... and being less than 1 ... yields a minus answer.
If the exponent is of the whole log function ie {log(X)}-1 then I also get 30.4956.....
Treating the -1 as integer "minus 1" ..... doesn't help either.
Another possibility, besides the book being incorrect (and it wouldn't be the first time), is the interpretation of "10log". I would also assume 'log base 10', but other bases to logs are used.
Is the text specific about "log base 10"??
Cheers,
Ian
‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
Cheers,
Ian
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Location: Melbourne, VIC
Member since 5 October 2009
Member #: 555
Postcount: 467
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Hey GTC,
Just got your second email ..... the book is correct .... 32.21.
The problem was with the interpretation of -1.
Calculation should be Tn/[{m/log(Pw/A)}-1] ie subtract 1 from m/log(Pw/A) then divide into Tn
Log is base 10
I will email my spreadsheet ... see the last calculation.
Cheers,
Ian
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Cheers,
Ian
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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Much confusion for me! Many thanks for the worked example.
I see you mean to say 38.21 above.
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Location: Melbourne, VIC
Member since 5 October 2009
Member #: 555
Postcount: 467
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Yes, 38.21. May I ask what the temperature calculation is for? Just curious.
Ian
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Cheers,
Ian
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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It's supposed to allow calculation (within 1% accuracy) of dew point temperature without recourse to the psychometric chart. I now have to see how good it is with local data.
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Location: Wangaratta, VIC
Member since 21 February 2009
Member #: 438
Postcount: 5474
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The only way you get 38.21 is to treat -1 as minus 1
If you divide out that which is in the inner bracket its log is 1.0398. divide 7.59.... by that and subtract 1 you end up with 6.3 as the divisor so then you have 240.72... / 6.3
Marc
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Location: Sydney, NSW
Member since 28 January 2011
Member #: 823
Postcount: 6803
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Marcc, yes thanks, Ian set me straight on that in post #9 above.
All good now.
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Location: Wangaratta, VIC
Member since 21 February 2009
Member #: 438
Postcount: 5474
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Basically, if the formula was written properly, there would never have been an issue: Only a problem, the value of "X"
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