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Expanding Logarithms with Radicals

  1. Jun 2, 2012 #1
    1. The problem statement, all variables and given/known data
    log2√x


    2. Relevant equations



    3. The attempt at a solution

    I thought that it might be something like log2x - log2x but thats not right. The book examples don't have any radicals.
     
  2. jcsd
  3. Jun 2, 2012 #2

    Mark44

    Staff: Mentor

    Write √x with a fractional exponent.
     
  4. Jun 2, 2012 #3
    That makes a lot more sense... So is it 1/2(log2x) or (log2x)/2(log2x)
     
  5. Jun 2, 2012 #4
    ##log(a^b) = b \cdot log(a)##
     
  6. Jun 3, 2012 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Why would you even consider that [itex]log_2(\sqrt{x})= 1/2[/itex] for all x?
     
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