Results 1 to 4 of 4

Thread: Solve for y as a function of x

  1. December 7th 2007, 10:26 AM #1
    xterminal01
    xterminal01 is offline
    Junior Member xterminal01's Avatar
    Joined
    Nov 2007
    Posts
    52

    Solve for y as a function of x

    The Eq is supposed to be solved for Y as a function of X :


    y^x = x^y + 1
    Follow Math Help Forum on Facebook and Google+
  2. December 7th 2007, 11:24 AM #2
    colby2152
    colby2152 is offline
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    MHF Donor
    Quote Originally Posted by xterminal01 View Post
    The Eq is supposed to be solved for Y as a function of X :


    y^x = x^y + 1
    Take the natural log of both sides...

    xln|y|=yln|x|
    \frac{y}{x}=\frac{ln|y|}{ln|x|}
    \frac{y}{x}=log_xy

    I'm now as lost as you are...
    Follow Math Help Forum on Facebook and Google+
  3. December 7th 2007, 11:29 AM #3
    Krizalid
    Krizalid is offline
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    5
    Recall \log(a+b) has not property.
    Follow Math Help Forum on Facebook and Google+
  4. December 7th 2007, 01:12 PM #4
    xterminal01
    xterminal01 is offline
    Junior Member xterminal01's Avatar
    Joined
    Nov 2007
    Posts
    52
    Set g(x,y)=y^{x}-x^{y}-1

    \frac{\partial{g}}{\partial{y}}=xy^{x-1}-x^{y}\ln(x),
    whose value at (1,2) equals 1 ? Is this correct?
    Follow Math Help Forum on Facebook and Google+
« World Problems | Which coordinate sysmtem? »

Similar Math Help Forum Discussions

  1. How to solve this function
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 4th 2011, 02:46 PM
  2. Solve the function
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: August 31st 2010, 08:23 PM
  3. how to solve this function for a and b
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 15th 2009, 03:36 PM
  4. Solve this function
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: August 14th 2008, 07:45 AM
  5. How to solve function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 4th 2006, 07:32 AM

Search Tags


/mathhelpforum @mathhelpforum