Question 177046
A culture contains 10 000 bacteria, and grows at a rate of 15% per hour.
;
a) Write an equation expressing the population, P in thousands as a function of n, the time in hours.
P(n) = Ao*(1.15^n)
where 
P = amt after n hrs (in thousands)
Ao = initial amt (in thousands) 
n = time in hrs
;
b) Solve your equation from part a) for n
10*(1.15^n) = P
1.15^n = {{{P/10}}}
log(1.15^n) = log(.1P)
:
.0607n = log(.1P)
n = {{{log(.1P)/.0607}}}