Answer:
 it takes 46 days to full the pond
Explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. 
 is the regression equation where x is the number of days, y the the amount of water.
My answer: 
As we can see in the equation:
- 3.915 is the initial value 
 - 1.106 = represents the increase in population at time x
 
this pond can hold up to 400 water lilies, it means that: 
 
<=> 
 
<=> 
 
We convert to sides to log 
<=> 
 
<=> 

<=> 

<=> x = 45.79 
So it takes 46 days to full the pond