Answer:
It took 17 days for the pasture to be one-third covered in grass 
Step-by-step explanation:
* Lets explain how to solve the problem
- The number of blades of grass is triple every day
- Consider that there are x blades in the first day
∵ The number of blades of grass is triple every day
∴ The next day the number of blades of grass will be 3x
∴ The formula to find the number of blades of grass after d days is
    
- After 18 days, the entire pasture is completely covered in grass
∵ d = 18
∴ The number of blades of grass = 
- We need to know the the number of days that took for the pasture
   to be one-third covered in grass
∵ The number of blades of grass for 1/3 covered = 
∴ 
- Remember  
∴ 
- Remember we add the power of the same bases when we 
  multiply them
∴  ⇒ divide both sides by x
 ⇒ divide both sides by x
∴ 
- Remember if the two bases equal in the equation, then their 
  powers are equal
∴ d = 17
* It took 17 days for the pasture to be one-third covered in grass