Results 1 to 2 of 2

Math Help - Problem solving logartithm question

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    1

    Problem solving logartithm question

    A 10 year research program is being carried out on two penguin rookery populations in Tasmania. Rookery A had 2000 penguins at the start of the study and the population has been decreasing by 5% per year. Rookery B had 3000 penguins initially and this population has been decreasing by 10% per year.

    a) Calculate how long it will take for the two populations to be the same.
    b) Find this actual figure.

    State any assumptions and use algebra, logarithms and other mathematics means (not a graphics calculator) to assist in your solution.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,080
    Thanks
    66
    HINT:
    2000(.95^n) = 3000(.90^n)
    (.95/.90)^n = 3000/2000
    (19/18)^n = 3/2

    Wrap it up!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Problem Solving Question
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: October 4th 2010, 05:27 AM
  2. help with problem solving question
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 15th 2009, 01:25 AM
  3. A problem solving question I just don't get..
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: November 18th 2008, 01:53 PM
  4. triangle problem solving question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: July 24th 2008, 09:56 PM
  5. A Problem Solving Question
    Posted in the Math Challenge Problems Forum
    Replies: 2
    Last Post: August 2nd 2006, 03:28 AM

Search Tags


/mathhelpforum @mathhelpforum