Results 1 to 2 of 2

Thread: Logs proofs

  1. #1
    May 2007

    Logs proofs

    I have a couple of properties that need to be proven.

    Use the definition a^x = e^(x log a) to derive the following properties of general exponentials:

    a) (ab)^x = (a^x)(b^x)

    b) (a^x)(a^y) = a^(x+y)

    c) (a^x)^y = (a^y)^x = a^(xy)

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Dec 2006
    (ab)^x=e^(xlogab)=e^(x*(loga+logb))=e^(xloga+xlogb )=e^(xloga)*e^(xlogb)=a^x*b^x
    Hope this gives you a hint how to do the other ones.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 9
    Last Post: Feb 22nd 2011, 06:39 PM
  2. Proofs involving logs
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 26th 2010, 06:36 AM
  3. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: Apr 14th 2008, 07:18 AM
  4. several questions-logs/natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Nov 12th 2007, 09:58 PM
  5. Replies: 3
    Last Post: Oct 6th 2007, 03:01 PM

Search Tags

/mathhelpforum @mathhelpforum