- #1
Dy19
- 4
- 0
Homework Statement
The question is: Mr Snail learns 1 fact/day. When will he know as much as the hare?
Homework Equations
The hare's learning rate is given by the equation: Learning Rate=50(e^((15-t)/5))+100
Where t is the time in days.
The Attempt at a Solution
Basically I have tried to make the equation equal to t, so that the total facts known will be the same as the amount of days passed, which is what I need. But I'm stuck?
What I have so far is:
t=50(e^((15-t)/5))+100
t-100=50(e^((15-t)/5))
(t/50)-2=e^((15-t)/5)
ln((t/50)-2)=ln(e^((15-t)/5))
ln((t/50)-2)=(15-t)/5
ln((t/50)-2)=3-(t/5)
And I have no idea of how to solve the equation from there?