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