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## 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?