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Exact Value

  1. Nov 7, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the exact value of the expression: 6561(1/ln(9))


    2. Relevant equations
    logax=(1/ln(a))(ln(x))


    3. The attempt at a solution
    I thought that I would start it by putting the expression into logarithmic form: log6561x=1/(ln(9)). I am not sure where to go from here though.
     
  2. jcsd
  3. Nov 7, 2013 #2

    D H

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    Try a different base.
     
  4. Nov 7, 2013 #3
    Such as?
     
  5. Nov 7, 2013 #4

    Dick

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    You already have an exact value. It's just what's printed there. You can express it in other ways that don't look terribly much simpler. I suspect that the log in the exponent might be intended to be a different base. Is that the exact problem? Try factoring 6561 to see why I might think so.
     
    Last edited: Nov 7, 2013
  6. Nov 8, 2013 #5

    D H

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    Exactly.

    It can be expressed in a much more compact form than 6561(1/ln 9).

    That's a very good suggestion.
     
  7. Nov 8, 2013 #6
    Thank you both very much. I'll work on it.
     
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