Results 1 to 3 of 3

Math Help - Logarithm Proof

  1. #1
    Member
    Joined
    Nov 2007
    Posts
    149

    Logarithm Proof

    Show that \frac {\log_a x}{\log_\frac{a}{b}x} = 1 + \log_a\frac{1}{b}.
    I have no idea where to begin. I know some of the property rules of logarithms but, that did not help. Any ideas?
    Last edited by chrozer; December 1st 2008 at 03:44 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Oct 2008
    Posts
    64
    Use the property that \log_a b=\frac{\log b}{\log a}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2007
    Posts
    149
    Quote Originally Posted by watchmath View Post
    Use the property that \log_a b=\frac{\log b}{\log a}
    Ok here's what I got so far. Working on the one side only I get
    \frac {\log 1}{\log a}-\frac {\log b}{\log a} +1 = \frac {\log_a x}{\log_\frac{a}{b}x}
    That's as far as I got.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Is there a proof why this law for logarithm is such?
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: November 17th 2010, 01:56 AM
  2. Different base logarithm proof
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 7th 2010, 12:27 AM
  3. Logarithm Proof
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 6th 2008, 11:59 AM
  4. Logarithm Proof
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 30th 2008, 07:37 AM
  5. Replies: 4
    Last Post: October 22nd 2008, 09:28 PM

Search Tags


/mathhelpforum @mathhelpforum