Results 1 to 5 of 5

Math Help - product of two logs -proof without word

  1. #1
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    Question product of two logs -proof without word

    Dear Sir,

    I have an interesting problem and hope you can shed some light on it
    I wonder whether you have encountered any simpler proof which comes with a geometrical interpretation of the below theorem .(or proof without words)
    thanks
    kingman
    .
    loga to the base b times logb to the base a equals 1
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    Posts
    806
    Thanks
    4
    Quote Originally Posted by kingman View Post
    Dear Sir,

    I have an interesting problem and hope you can shed some light on it
    I wonder whether you have encountered any simpler proof which comes with a geometrical interpretation of the below theorem .(or proof without words)
    thanks
    kingman
    .
    loga to the base b times logb to the base a equals 1
    \log_b{a}\time\log_a{b}

    \frac{log(a)}{log(b)}*\frac{log(b)}{log(a)}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    Posts
    806
    Thanks
    4
    [quote=sa-ri-ga-ma;510604]
    \log_b{a}\time\log_a{b}

    \frac{log(a)}{log(b)}*\frac{log(b)}{log(a)}
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    Thanks but...

    Dear sa-ri-ga-ma,
    Thanks for algebraic approach to the problem and what
    the question is looking for is the geometrical interpretation .
    .
    thanks
    kingman
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    Question 'Proof Without Words '

    Dear sa-ri-ga-ma,
    Thanks for algebraic approach to the problem and I can understand how to prove it algebraically but what
    the question is looking for is a geometrical proof for it. This is similar to asking for 'Proof Without Words 'type of answer.
    .
    Thanks
    kingman
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] quick question on product rule and equality rule for logs
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: October 19th 2011, 07:29 PM
  2. Replies: 1
    Last Post: March 10th 2010, 11:05 PM
  3. half life word problem using logs
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 1st 2009, 12:06 PM
  4. natural logs proof eqn
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 16th 2008, 06:57 PM
  5. problems with logs and a proof.
    Posted in the Calculus Forum
    Replies: 6
    Last Post: June 26th 2007, 10:20 PM

Search Tags


/mathhelpforum @mathhelpforum