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Math Help - exponential simultaneous equations

  1. #1
    Newbie emma's Avatar
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    exponential simultaneous equations

    can you please explain how to do the following:

    Find the values of a and b such that the graph of y = ae^(-bx) goes through the points (3, 50) and (6, 10).

    So I put the numbers into simultaneous equations and i got
    1) 50=ae^(-3b)
    2) 10=ae^(-6b)

    but I dont know how to solve these...


    ...thankyou
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  2. #2
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    Quote Originally Posted by emma View Post
    can you please explain how to do the following:

    Find the values of a and b such that the graph of y = ae^(-bx) goes through the points (3, 50) and (6, 10).

    So I put the numbers into simultaneous equations and i got
    1) 50=ae^(-3b)
    2) 10=ae^(-6b)

    but I dont know how to solve these...


    ...thankyou
    (1)/(2): 5 = e^{3b}. Solve for b. Substitute value of b into either (1) or (2) and solve for a.
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  3. #3
    Newbie emma's Avatar
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    how do i work it out for b?
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  4. #4
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    Quote Originally Posted by emma View Post
    how do i work it out for b?
    Apply what you have learned from this thread: http://www.mathhelpforum.com/math-he...e-x-5-6-a.html
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