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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- Mar 1st 2010, 04:18 PMkrzyriceConverting 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. - Mar 1st 2010, 04:26 PMSudharaka
Dear krzyrice,

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

Substituting in your equation,

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

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

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

Therefore, $\displaystyle Q=4e^{2.70t}$

Hope this will help you. - Mar 1st 2010, 04:30 PMkrzyrice
Thank you so much for helping me. Very simple to understand explanation, excellent work! (Clapping)