Results 1 to 2 of 2

Math Help - Bacterial Cultures

  1. #1
    Newbie
    Joined
    May 2007
    Posts
    2

    Bacterial Cultures

    OK, another tricky question which I am having trouble with. We are given the equations for two bacterial cultures (which describe their rates of growth, y being equal to the number of bacteria at a certain time) Culture A has an equation of y = 50 (1.319507911)^x and Culture B has an equation of y = 65 (1.316074013)^x. The problem here is we are asked to find when the two cultures will be equal, and while i have done the necessary log calculations to determine this, I am left with an impossible answer (1.01 x = 1.3 x). If anybody could tell me what I'm doing wrong, it would be much appreciated!

    Thanks so much!

    mathnerd11
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by mathnerd11 View Post
    OK, another tricky question which I am having trouble with. We are given the equations for two bacterial cultures (which describe their rates of growth, y being equal to the number of bacteria at a certain time) Culture A has an equation of y = 50 (1.319507911)^x and Culture B has an equation of y = 65 (1.316074013)^x. The problem here is we are asked to find when the two cultures will be equal, and while i have done the necessary log calculations to determine this, I am left with an impossible answer (1.01 x = 1.3 x). If anybody could tell me what I'm doing wrong, it would be much appreciated!

    Thanks so much!

    mathnerd11
    Hello,

    I've got x is approximately 100.

    And that's what I've done:

    50 (1.319507911)^x = 65 (1.316074013)^x Divide both sides by 50 and by (1.316074013)^x
    Code:
     65        1.319507911
    ---- = (-------------------)^x = 1.002609198^x
     50         1.316074013
    I assume that you know how to calculate the value for x. My result: x = 100.6847...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Two bacterial colonies
    Posted in the Calculus Forum
    Replies: 75
    Last Post: November 5th 2010, 11:03 PM
  2. Mathematics in other cultures?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 3rd 2010, 10:32 PM
  3. Advice needed for bacterial population count
    Posted in the Statistics Forum
    Replies: 1
    Last Post: March 3rd 2010, 10:21 PM
  4. Bacterial Plates Mutations
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 15th 2010, 06:40 AM
  5. Bacterial Growth
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 7th 2009, 05:25 PM

Search Tags


/mathhelpforum @mathhelpforum