Results 1 to 6 of 6

Math Help - Logs

  1. #1
    Member
    Joined
    Jul 2010
    Posts
    109

    Exclamation Logs

    Solve for :

    Is what I'm doing against rules of math:

    3^3 = log base 3 x
    27 = log base 3 x
    27= 3^x

    log 27 = x log 3

    x = log 27/ log 3? x=3


    I think that's wrong.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093

    Re: Logs

     \log_3 (\log_3 x) = 3

     \log_3 x = 3^3

     x = (3^3)^3
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,402
    Thanks
    1273

    Re: Logs

    Quote Originally Posted by Amer View Post
     \log_3 (\log_3 x) = 3

     \log_3 x = 3^3

     x = (3^3)^3
    I'm sure you mean \displaystyle x = 3^{3^3}...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,365
    Thanks
    1311

    Re: Logs

    An important distinction! (3^3)^3= 9^3= 729. 3^{3^3}= 3^{27}= 7625597484987!
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
    Posts
    901

    Re: Logs

    Quote Originally Posted by HallsofIvy View Post
    An important distinction! (3^3)^3= 9^3= 729
    Are you sure?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,310
    Thanks
    687

    Re: Logs

    (3^3)^3 = 3^9 = 19,683
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 9
    Last Post: February 22nd 2011, 05:39 PM
  2. Logs
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 24th 2010, 07:52 AM
  3. Logs
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 10th 2009, 06:08 PM
  4. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 14th 2008, 06:18 AM
  5. several questions-logs/natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 12th 2007, 08:58 PM

Search Tags


/mathhelpforum @mathhelpforum