-12.5exp(-1500t) + 16exp(-2400t) + exp(-600t) = 0
solve for t. I don't know how to take the natural log of a sum of exponentials. thanks for your help!
There may be an easier way, but here goes:
Starting with
Divide through by , and rearrange:
This factors out to the form:
(eqn 1)
Where and . You have two equations in two unknowns, which gets you to:
Use the quadratic formula to solve for A:
1.448 or 11.052, B = 12.5-A = 11.052 or 1.448
Put these values back into the equation (1):
So:
or: