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