a colony of bacteria is growing exponentially according to the function below where t is in hours. about how many will it take for the population to reach 100
solve for value of t such that B(t)=100 so 100=4*e^0.8t divide both sides by 4 25=e^0.8t take ln of both sides ln(25)=ln(e^0.8t) ln(25)=0.8t(ln(e)) divide both sides by 0.8 ln(25)/0.8=t(1) ln(25)/0.8=t t=ln(25)/0.8 t≈4.02359 so about 4 years
