Asked by Lauren

A culture of bacteria triples every 7 minutes. How long will it take a culture originally consisting of 𝟐4 bacteria to grow to a population of 𝟏00 000 bacteria? Show ALL work and round to one decimal place, if necessary.
Answered by oobleck
I'll help you with the solution. Showing ALL work is your job. Just post the question.

the population after t minutes is 24*3^(t/7)
so, you need to solve
24*3^(t/7) = 100000
3^(t/7) = 12500/3
t/7 log3 = log(12500/3)
Now finish it off