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Homework Help: Urgent LOG help needed please

  1. Jun 1, 2008 #1
    1. The problem statement, all variables and given/known data
    Given that [tex]log_{2}x = p[/tex]
    a) Find [tex]log_{2}8x^{2}[/tex] in terms of p


    3. The attempt at a solution

    take the power outside the log

    [tex]2log_{2}8x[/tex]

    but i cant see what to do next

    Any suggestions

    Thanks :)
     
  2. jcsd
  3. Jun 1, 2008 #2

    Doc Al

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    Staff: Mentor

    I assume you mean:
    [tex]{log}_{2}(8x^{2})[/tex]

    First things first. How do logs work with products? log(ab) = ?? (In your example, a = 8 and b = x^2.)
     
  4. Jun 1, 2008 #3
    [tex]log_{2}8x^{2}[/tex]

    [tex]log_{2}8 + 2log_{2}x[/tex]

    [tex]3 + 2p[/tex]

    Thanks :)

    it was easy!
     
  5. Jun 1, 2008 #4

    Doc Al

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    Staff: Mentor

    Now you've got it! :wink:
     
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