Converting to Q = ae^kt form

**krzyrice** · March 1st 2010, 04:18 PM

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.

**Sudharaka** · March 1st 2010, 04:26 PM

Originally Posted by krzyrice

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.

**krzyrice** · March 1st 2010, 04:30 PM

Thank you so much for helping me. Very simple to understand explanation, excellent work!

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