Recent content by eric123

  1. E

    Proofing Logarithms: a^(log(b))=b^(log(a))

    thanks
  2. E

    Proofing Logarithms: a^(log(b))=b^(log(a))

    Does anyone know how to proof the following: a^(log(b))=b^(log(a)) for a,b>0
  3. E

    Finding the Limit of ln((2x)^(2x))/(3x²+1) with x→∞

    okay, thank you. I am, however, not allowed to use L´Hopital´s rule.. does anyone know a method besides L´Hopital´s rule?
  4. E

    Finding the Limit of ln((2x)^(2x))/(3x²+1) with x→∞

    Homework Statement find the following limit: ln((2x)^(2x))/(3x²+1) with x>infinity. The Attempt at a Solution I tried the following: lim ( ln((2x)^(2x))/(3x²+1) ) with x>infity = lim ( (3x²+1)/ln((2x)^(2x)) ) with x>0 lim 2xln(2x) with x>0 = 0, therefore lim...