Results 1 to 3 of 3

Math Help - Trouble equating functions to check if one-to-one with natural log's

  1. #1
    Newbie
    Joined
    Jun 2012
    From
    Canada
    Posts
    20

    Trouble equating functions to check if one-to-one with natural log's

    e^a/(1+4e^a)=e^b/(1+4e^b)

    When I multiply each side by it's denominator I get:

    e^a+4e^a^+^b=e^b+4e^a^+^b

    hopefully I'm on the right track, then do I take the natural log of both sides? How does the natural log react in this situation with the addition? Do all the e's cancel out?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,689
    Thanks
    448

    Re: Trouble equating functions to check if one-to-one with natural log's

    Quote Originally Posted by Maskawisewin View Post
    e^a/(1+4e^a)=e^b/(1+4e^b)

    When I multiply each side by it's denominator I get:

    e^a+4e^a^+^b=e^b+4e^a^+^b

    hopefully I'm on the right track, then do I take the natural log of both sides? How does the natural log react in this situation with the addition? Do all the e's cancel out?
    e^a+4e^a^+^b=e^b+4e^a^+^b

    start by subtracting 4e^{a+b} from both sides ...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2012
    From
    Canada
    Posts
    20

    Re: Trouble equating functions to check if one-to-one with natural log's

    That was easy. Thank you. Always making it hard on myself.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Laplace and Equating Coefficients
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: May 21st 2012, 05:04 AM
  2. The act of equating
    Posted in the Algebra Forum
    Replies: 11
    Last Post: December 11th 2011, 11:37 PM
  3. Equating two differential equations
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: November 15th 2011, 04:37 PM
  4. Equating two SI units of time
    Posted in the Algebra Forum
    Replies: 3
    Last Post: September 30th 2011, 09:00 AM
  5. natural domains of the following functions
    Posted in the Pre-Calculus Forum
    Replies: 9
    Last Post: January 14th 2008, 01:09 AM

Search Tags


/mathhelpforum @mathhelpforum