Results 1 to 2 of 2

Math Help - Solve for x:

  1. #1
    Member
    Joined
    Sep 2006
    Posts
    75

    Solve for x:

    Solve for x:

    6^(1+x)+6^(1-x)=37
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,842
    Thanks
    320
    Awards
    1
    Quote Originally Posted by ceasar_19134 View Post
    Solve for x:

    6^(1+x)+6^(1-x)=37
    6^(1+x)+6^(1-x)=37

    6*6^(x) + 6*6^(-x) = 37

    6^(x) + 6^(-x) = 37/6

    6^x + 1/6^(x) = 37/6

    6^x*6^x + 1 = (37/6)*6^x

    6^(2x) - (37/6)*6^(x) + 1 = 0

    [6^(x)]^2 - (37/6)*[6^(x)] + 1 = 0

    Let y = 6^x

    y^2 - (37/6)y + 1 = 0

    Factor, complete the square, use the quadratic formula, whatever. You get:
    y = 1/6 or y = 6.

    Thus
    6^x = 1/6 ==> x = -1

    or

    6^x = 6 ==> x = 1

    Thus x = -1 or x = 1.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. need to solve summation equation to solve sum(x2)
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 16th 2010, 10:29 PM
  2. how do i solve this IVP: y'=y^2 -4
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: February 24th 2010, 11:14 AM
  3. Replies: 1
    Last Post: June 9th 2009, 10:37 PM
  4. how do i solve this?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 2nd 2008, 02:58 PM
  5. how to solve ..
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: August 2nd 2008, 08:17 AM

Search Tags


/mathhelpforum @mathhelpforum