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Basic Logarithmic Problem

  1. Apr 7, 2006 #1
    Pete has access to a scientific calculator and only knows the Definition of a Logarithm and the Change of Base Formula. How is Pete able to solve the following problem?:

    x^(log base x of y) =
     
    Last edited: Apr 8, 2006
  2. jcsd
  3. Apr 8, 2006 #2

    Curious3141

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    What is the definition of a logarithm ?
     
  4. Apr 8, 2006 #3
    log base b of n = x <=> b^x = n
     
  5. Apr 8, 2006 #4

    VietDao29

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    Let
    [tex]\xi = \log_x y[/tex]
    [tex]\Leftrightarrow x ^ {\xi} = y[/tex], right?
    So:
    [tex]x ^ {\log_x y} = x ^ {\xi} = ?[/tex]
    Can you go from here? :)
     
  6. Apr 8, 2006 #5
    Thanks! (Previously I knew the cancel-out-rule, but I didn't understand why you can cancel.)
     
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