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Math Help - Need help solving equation

  1. #1
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    Need help solving equation

    Need to solve for q.

    f=.2083(100/c)^1.852*q^1.852/dh^4.8655*5280/100
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Need help solving equation

    Quote Originally Posted by blsamuels View Post
    Need to solve for q.

    f=.2083(100/c)^1.852*q^1.852/dh^4.8655*5280/100
    This is an equation of the form:
     f = \frac {Aq^{1.852}} B

    where A and B are constants:  A = 0.2083 (\frac {100} C ) ^{1.852} and  B=dh^{4.8655} (\frac {5280} {100}). So you can rearrange as follows:

     q^{1.852} = \frac {fB} A

     1.852 \log(q) = \log ( \frac {fB} A )

    \log (q) = \frac 1 {1.852} \log ( \frac {fB} A )

    q = e^{ [ \frac 1 {1.852} \log(fB/A) ]} = (\frac {fB} A )^\frac 1 {1.852}
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