Help with conversion of equation

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The discussion centers around converting the equation Q = C(v)^n to Q = C(ρv)^y, where v is velocity, ρ is a constant equal to 1.42, and C is a constant. The original poster is confused about how to solve for y and whether logarithms can be applied due to the subscripts used in the equations. Participants clarify that the subscripts do not affect the mathematical operations and that logarithms can indeed be used for the conversion. Ultimately, the consensus is that logarithmic methods are appropriate for solving the equation, regardless of the subscripts. The conversation emphasizes the importance of understanding variable notation in mathematical equations.
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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