Results 1 to 3 of 3

Math Help - prove

  1. #1
    Member
    Joined
    Nov 2006
    Posts
    152

    prove

    if a=/= b , a and b positive

    prove

    \sqrt{ab}<\frac{a-b}{\ln{a}-\ln{b}}<\frac{a+b}{2}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Lord of certain Rings
    Isomorphism's Avatar
    Joined
    Dec 2007
    From
    IISc, Bangalore
    Posts
    1,465
    Thanks
    6
    Quote Originally Posted by perash View Post
    if a=/= b , a and b positive

    prove

    \sqrt{ab}<\frac{a-b}{\ln{a}-\ln{b}}<\frac{a+b}{2}
    \frac{a-b}{\ln{a}-\ln{b}}!!

    It's reciprocal looks like a nice candidate for MVT
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2
    Why is this in "Pre-Algebra and Algebra"?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove a/b and a/c then a/ (3b-7c)
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: March 23rd 2010, 06:20 PM
  2. prove,,,
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 1st 2010, 10:02 AM
  3. Prove |w + z| <= |w| +|z|
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 28th 2010, 06:44 AM
  4. Replies: 2
    Last Post: August 28th 2009, 03:59 AM
  5. How to prove that n^2 + n + 2 is even??
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 30th 2008, 02:24 PM

Search Tags


/mathhelpforum @mathhelpforum