Results 1 to 6 of 6

Math Help - Another log function problem

  1. #1
    Member
    Joined
    Oct 2009
    Posts
    123

    Another log function problem

    Boy isn't this fun

    Can someone please tell me if this is right or wrong?

    If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?


    My Answer


    g(x) = x and h(x) = log(x)

    g(x) = x is a straight line through the Origin with a slope of 1

    h(x) crosses the x-axis at (1,0) and does not intersect g(x).

    log(x) = x has no solution.


    -----------------------------

    Would this be right or wrong? If it's wrong how can I answer the question. If it is partly right how can I do this problem in a way that would get me full marks? Do i need to show anything else in teh answer?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Quote Originally Posted by agent2421 View Post


    My Answer


    g(x) = x and h(x) = log(x)
    What is the base of the log?

    Do you mean g(x) = x and  h(x) = log_1(x) <br />
(from your previous thread)

    does this change your answer?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2009
    Posts
    123
    sorry for not being clear. Basically i mean:


    If g(x) = b^x and h(x) =  log_b(x) would the graphs of these functions intersect if b = 1? If so, at what ordered pair?


    so I think your interpretation of the question is right. I think i did get it wrong so what steps do you need to take to solve a question like this?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Oct 2009
    Posts
    123
    Alright i think i figured out it would intersect but i'm not sure how to get an ordered pair.

    if anyone knows of an online graphing calculator that uses logs it would be helpful because I'll be able to get a more concrete answer.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
     h(x) = log_1(x) \Rightarrow x=1

    y = x and x=1 intersects at x=1 therefore the answer is (x,y) = (1,1)
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Oct 2009
    Posts
    123
    Thanks man, appreciate you helping me.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 20
    Last Post: November 27th 2012, 06:28 AM
  2. Replies: 6
    Last Post: August 13th 2010, 02:03 AM
  3. 1 Word problem and 1 function problem
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 21st 2010, 09:01 AM
  4. Greatest integer function (=step function) problem
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: June 7th 2009, 02:43 PM
  5. Function within a function problem
    Posted in the Calculus Forum
    Replies: 10
    Last Post: April 26th 2009, 04:49 PM

Search Tags


/mathhelpforum @mathhelpforum