Results 1 to 5 of 5
Like Tree3Thanks
  • 1 Post By ibdutt
  • 1 Post By topsquark
  • 1 Post By Soroban

Math Help - Log Simplification?

  1. #1
    Junior Member
    Joined
    Jan 2010
    From
    Florida
    Posts
    28

    Log Simplification?

    I am stuck on something that shouldn't be particularly complicated.

    I have logx(xlogyy5)

    Should I get 1+logx5? This doesn't look right to me.

    Instructions much appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    834
    Thanks
    209

    Re: Log Simplification?

    I think your approach is right. In case you find a discrepancy you may paste the same.
    Thanks from Quixotic
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1

    Re: Log Simplification?

    Quote Originally Posted by Quixotic View Post
    I am stuck on something that shouldn't be particularly complicated.

    I have logx(xlogyy5)

    Should I get 1+logx5? This doesn't look right to me.

    Instructions much appreciated.
    It's correct.

    -Dan
    Thanks from Quixotic
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,905
    Thanks
    765

    Re: Log Simplification?

    Hello, Quixotic!

    \text{I have: }\:\log_x(x\log_yy^5)

    \text{Should I get: }\:1+\log_x5\,? . Yes!

    \log_5(x\log_yy^5) \;=\;\log_5(x\cdot 5\log_yy) \qquad\quad \text{Note that: }\log_yy =1

    . . . . . . . . . . =\;\log_5(x\cdot 5\cdot 1)

    . . . . . . . . . . =\;\log_5(5x)

    . . . . . . . . . . =\;\log_55 + \log_5x \qquad\quad\text{Note that: }\log_55 = 1

    . . . . . . . . . . =\; 1 + \log_5x
    Thanks from Quixotic
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Jan 2010
    From
    Florida
    Posts
    28

    Re: Log Simplification?

    Thanks everyone!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simplification
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 9th 2011, 07:35 PM
  2. simplification
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 1st 2011, 08:49 PM
  3. Simplification
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 8th 2009, 05:54 PM
  4. simplification?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 3rd 2009, 03:51 PM
  5. Simplification II
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 4th 2008, 12:02 PM

Search Tags


/mathhelpforum @mathhelpforum