Converting a log equation to exponential equation

  1. 1. The problem statement, all variables and given/known data
    the question asks to graph the equation:
    (don't know how to use latex sorry)
    f(x) = log5 (x) + 3 where the 5 is the base
    Just for my curiosity what would the exponential equation be?
    I can graph it, just can't get the exponential form
    Tell me if this should go in the general math section.
     
  2. jcsd
  3. Gib Z

    Gib Z 3,348
    Homework Helper

    You already put it in the general math section lol, look there for the working.
    [tex]5^{f(x)} = 125x[/tex]
     
  4. Can that be expressed as x=? and can you show me how you did that?
     
  5. Gib Z

    Gib Z 3,348
    Homework Helper

  6. HallsofIvy

    HallsofIvy 40,673
    Staff Emeritus
    Science Advisor

    "Solve" for x: y- 3= log5(x) so, using the definition of log5(x) as the inverse of 5x, x= 5y-3= (1/125)5y.
     
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