Help with conversion of equation

  • Context: Undergrad 
  • Thread starter Thread starter maverickmathematics
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Discussion Overview

The discussion revolves around the conversion of an equation involving variables and constants, specifically focusing on expressing one variable in terms of another. The context includes mathematical reasoning and potential confusion regarding notation and the use of logarithms.

Discussion Character

  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant seeks assistance in converting the equation Q = C (of v) ^n into terms of y, where Q = C (of rho.v) ^y, noting that rho is equal to 1.42.
  • Another participant suggests using logarithms to solve for y, implying that this method could simplify the conversion process.
  • A different participant questions the validity of using logarithms, pointing out that the notation differs between the two equations, which may affect the approach to solving for y.
  • One participant argues that the subscript used in the equations is merely for identification and does not carry mathematical significance, implying that logarithmic methods could still apply.
  • Another participant reiterates the suggestion to use logarithms, agreeing with the previous assertion about the subscript not impacting the mathematical process.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of logarithms in this context, with some advocating for their use while others challenge this approach based on the notation differences. The discussion remains unresolved regarding the correct method for conversion.

Contextual Notes

There is uncertainty regarding the interpretation of the notation used in the equations, particularly the significance of subscripts and how they affect the mathematical operations involved. Additionally, the value of rho is noted as potentially incorrect, which may influence the outcome.

maverickmathematics
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Hey guys, I'm trying to convert this equation into terms of y

Q = C (of v) ^n
Q = C (of rho.v) ^ y

v is the veloctiy and rho v is the flow of a material although that doesn't really matter. C is a contant, and rho is equal to 1.42.

When i write of v - i mean if writing it out on paper i would write C with a little v beneath it - the same with rho v.

Dots mean multiplication.

Please help me soon I'm sure I'm being dense but need help! Also my value for rho might be wrong!

Regards,

M
 
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Please Help!
 
Q = C_v ^n
Q = C_v ^ y

Solved for y?
Just use logarithms.
 
Whozum -
in the first equation, it is C of v as you wrote
but in the second equation, it is C of rho times v

So logarithms cannot be used can't they?

Regards,

M
 
That doesn't make sense. The subscript is used to identify or elaborate on the variable, it doesn't hold any mathematical informaiton.
 
Q=C_{\rho*v}^y
i agree with whozum. you should just use logarithms. it doesn't matter about the subscript.
 

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