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Math Help - Converting to Q = ae^kt form

  1. #1
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    Exclamation Converting to Q = ae^kt form

    Q = 4 * 8^1.3t

    How would I convert this into Q = ae^kt form?

    The answer in the back of the book says Q = 4e^2.703t but I have tried everything and couldn't get the same answer. Please help me with this problem.
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  2. #2
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    Quote Originally Posted by krzyrice View Post
    Q = 4 * 8^1.3t

    How would I convert this into Q = ae^kt form?

    The answer in the back of the book says Q = 4e^2.703t but I have tried everything and couldn't get the same answer. Please help me with this problem.
    Dear krzyrice,

    If e^{x}=8\Rightarrow{x=ln8}

    Substituting in your equation,

    Q=4e^{x(1.3t)}

    Q=4e^{ln8(1.3t)}

    Since ln8=2.079\Rightarrow{1.3ln8=2.70}

    Therefore, Q=4e^{2.70t}

    Hope this will help you.
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  3. #3
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    Thank you so much for helping me. Very simple to understand explanation, excellent work!
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