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Math Help - More exponentials and logs!

  1. #1
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    England
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    Question More exponentials and logs!

    Its me again

    The question I'm stuck on now is (this is gonna be diificult to type/understand)

    Population of orchids is shown by (p is population and t is years from start)

    p = 2800ae^(0.2t)/
    1+ae(0.2t)

    Given that population is 300 when study started (this means that time=0, right?)

    a) prove that a=0.12, which I have done

    b) use this to predict no of years before the population reaches 1850

    does this mean that you make p=1850 and solve for t?

    so,

    1850 = 336e^(0.2t)/
    1+0.12e^(0.2t)

    I'm not too sure what to do from here?

    c) show that,

    p= 336/
    0.12+e^(0.2t)

    d) hence show that population cannot exceed 2800

    I know its alot to ask for but I would be very grateful to anyone who would be kind enough to help me
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  2. #2
    Junior Member Mrdavid445's Avatar
    Joined
    Aug 2012
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    Michigan
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    Re: More exponentials and logs!

    Hint: For (b) you are setting p=1850. When you have 1+0.12e^(0.2t), trying using natural log.
    Additional Hint: e^(ln(x))=x
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  3. #3
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    Re: More exponentials and logs!

    Sorry im still perplexed??? :/
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