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Solve this equation for Q

  1. Oct 31, 2011 #1
    This one has me stumped. This is not homework, this is someone's attempt to estimate growth of corals in a marine aquarium. I don't know where he came up with this equation...

    [tex]
    T = Q + 2^{(Q-2)}
    [/tex]
     
  2. jcsd
  3. Oct 31, 2011 #2
    I'm not sure you can solve for Q here
     
  4. Oct 31, 2011 #3
    I've been trying to figure it out with ln functions and substitution, etc...I've seen something like this before in college it seems. Some kind of transform or algorithm...just can't put my finger on it.
     
  5. Oct 31, 2011 #4
  6. Oct 31, 2011 #5
    [tex](t-q)=2^{q-2}[/tex]
    [tex](t-q)2^{2-q+t}=2^t[/tex]
    [tex](t-q)2^{t-q}=2^{t-2}[/tex]
    [tex]\log(2)(t-q)e^{(t-q)\log(2)}=\log(2)2^{t-2}[/tex]
    [tex]t-q=\frac{W[2^{t-2}\log(2)]}{\log(2)}[/tex]

    [tex]q=t-\frac{W[2^{t-2}\log(2)]}{\log(2)}[/tex]
     
  7. Oct 31, 2011 #6
    You guys rock

    Thanks!!!!!!!!!!
     
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