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  • Feb 20, 2009, 06:55 PM
    colvinclan
    exponential equations
    y=ab^x

    I have a table with exponents given (x) and y given. I need to find a and b.
    x y
    0 300
    2 48
    3 19.2
    4 7.68

    What is the formula to solve a and b?
  • Feb 20, 2009, 07:36 PM
    Perito

    write y=a b^x replacing y and x with the values in your table. That gives you four equations. The first equation,

    300 = ab^0

    is an intercept (x=0) and will give you the value of "a"

    the second equation, 48 = ab^2, can be solved because you already know "a".

    The other two equations that you can make are not really needed. Use them to make sure your answer is correct.

    19.2 = a b^3
    7.68 = a b^4

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