a culture of bacteria originally numbers 500,after 2 hours there are 1500 bacteria in the culutre find the rate of growth,assuming that its exponential,using that rate find how many there are after 6 hours

500 * exp(2x) =1500

2x =ln( 1500/500)= ln(3) =1.098612

x= 0.549306

after 6 hours = 500* exp(6*0.549306) = 13500

Alternatively after 2 hours =1500 = 3 times 500

After 4 hours 3 times 1500 = 4500

After 6 hours 3 times 4500 =13500

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