Verified Answer :

25 bacteria at time = 0
population triples each hour
population = 25 (3^time)

We have to solve that equation for time so we
take logarithms of both sides:
population / 25 =  (3^time)
log(1,170 / 25) = time
log(3)
log(46.8) = time log(3)



1.6702458531



= time



0.4771212547




time = 

1.6702458531 / 0.4771212547



time =



3.5006737523



hours

Double check
population = 25 (3^3.5006737523)
population = 25
46.8
population = 1,170