Results 1 to 2 of 2

Math Help - Prove an equivalence?

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    66

    Prove an equivalence?

    Hey guys,

    My math professor gave us a problem today that I have no clue how to solve.

    For a,b&c> 0, prove that a^(logb(c)) = c^(logb(a)). Where b is the base.

    Thanks for the help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member Nehushtan's Avatar
    Joined
    Mar 2013
    From
    Europe
    Posts
    42
    Thanks
    12

    Re: Prove an equivalence?

    Quote Originally Posted by Reefer View Post
    For a,b&c> 0, prove that a^(logb(c)) = c^(logb(a)). Where b is the base.
    Let y=\left(\log_ba\right)\left(\log_bc\right). Then y=\log_b\left(a^{\log_bc}\right) and also y=\log_b\left(c^{\log_ba}\right).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to prove an equivalence Relation?
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: March 12th 2013, 09:24 AM
  2. Prove on equivalence, addition and multplication
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: November 13th 2012, 09:16 AM
  3. Replies: 2
    Last Post: April 29th 2012, 09:41 AM
  4. Prove equivalence relation
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: June 23rd 2010, 11:25 AM
  5. Help with manipulation of phrases to prove equivalence
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: September 24th 2009, 08:11 AM

Search Tags


/mathhelpforum @mathhelpforum