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Logarithmic Equation - Pretty Confused

  1. Oct 18, 2007 #1
    this is what I'm having trouble with:

    Let r = log6 17, s = log4 17, t = log6 4.

    Write the following expressions in terms of r, s, and/or t. The change of base formula may be helpful in finding some of these logarithms.

    log16 17 =

    http://www.webassign.net/www31/symImages/6/a/1835a244d7715d29ef2d1f41e45aff.gif

    log16 17(6^(log36 4) =

    http://www.webassign.net/www31/symImages/d/4/9b6ebc66e4a9ccb204874138ac34c3.gif

    Plz help!
     
    Last edited: Oct 18, 2007
  2. jcsd
  3. Oct 18, 2007 #2

    cristo

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    Staff Emeritus
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    Well, you've been given a hint. What are the "change of base" formulae?
     
  4. Oct 18, 2007 #3
    lol I don't know, I tried looking in my textbook and I couldn't find anything!!
     
  5. Oct 18, 2007 #4
  6. Oct 18, 2007 #5
    i dont understand how i got the first one wrong, isnt it supposed to be r/2t
     
  7. Oct 18, 2007 #6
    Change [tex]log_{16}17[/tex] to base 4.
     
  8. Oct 18, 2007 #7
    okay the first one that i asked u guys, the answer is s/2

    apparently i thought i got the last one right, but it was wrong, i put s(6^t/2)

    but it was s+.5, anybody kno why?!?
     
  9. Oct 19, 2007 #8

    cristo

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    Have you looked at the change of base formula provided in the link above? For the first question, follow the hint by Feldoh, and use the change of base formula; so, [tex]\log_{16} 17=\frac{\log_4 17}{\log_4 16}[/tex]. Can you continue?

    Incidentally, you should post in the homework forums in future.
     
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