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The population of a certain bacteria is expected to grow exponentially at a rate of $15 \%$ every hour. If the initial population is $5~000$, how long will it take for the population to reach $100~000$?
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A=P(1+i/m)^nxm  , m= 24 hours in a day

100 000 = 5 000(1 + 0.15/24)^nx24

introducing logs,

n= log(100000/5000)/24log(1+ 0.15/24)

= 20.03.. days
by Diamond (39,091 points)