Results 1 to 2 of 2

Math Help - Logs

  1. #1
    Member classicstrings's Avatar
    Joined
    Mar 2006
    Posts
    175
    Awards
    1

    Logs

    Stuck on this one...

    logf(x) = ax + b. Given that f(0) = 1 and f(1) = e^2, find the constraints a and b and hence find f(x).

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by classicstrings View Post
    Stuck on this one...

    logf(x) = ax + b. Given that f(0) = 1 and f(1) = e^2, find the constraints a and b and hence find f(x).

    Thanks

    I suppose this is log to the base 10


    f(0) = 1
    => log(1) = a(0) + b
    => 0 = b


    f(1) = e^2
    => log(e^2) = a(1) + b .........but b = 0
    => log(e^2) = a


    so logf(x) = xlog(e^2) + 0 = xlog(e^2)
    => logf(x) = log(e^2x)
    => f(x) = e^2x
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 9
    Last Post: February 22nd 2011, 05:39 PM
  2. Logs
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 24th 2010, 07:52 AM
  3. Logs
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 10th 2009, 06:08 PM
  4. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 14th 2008, 06:18 AM
  5. several questions-logs/natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 12th 2007, 08:58 PM

Search Tags


/mathhelpforum @mathhelpforum