Results 1 to 3 of 3

Math Help - Problems of the form x^n*b^p(x)

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    dallas
    Posts
    1

    Problems of the form x^n*b^p(x)

    Okay, this is the equation: 25x=5x*x -3 * x. Solve for x.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: Problems of the form x^n*b^p(x)

    I don't think that can be solved using algebraic methods. You have to approximate or use Newton's formula.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,678
    Thanks
    611

    Re: Problems of the form x^n*b^p(x)

    Hello, waldol1!

    I assume you have a typo . . .


    \text{Solve for }x\!:\;25^x \:=\:5^{x^2-3x}

    We have: . (5^2)^x \:=\:5^{x^2-3x} \quad\Rightarrow\quad 5^{2x} \:=\:5^{x^2-3x}

    . . . . . . . . 2x \:=\:x^2-3x \quad\Rightarrow\quad x^2 - 5x \:=\:0 \quad\Rightarrow\quad x(x-5) \:=\:0

    Therefore: . x \:=\:0,\:5
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: July 27th 2012, 06:40 PM
  2. Replies: 1
    Last Post: May 11th 2010, 11:39 AM
  3. Replies: 1
    Last Post: February 16th 2010, 07:21 AM
  4. Replies: 1
    Last Post: November 27th 2009, 05:33 PM
  5. Replies: 14
    Last Post: May 30th 2008, 06:10 AM

Search Tags


/mathhelpforum @mathhelpforum