SOLUTION: The following equation represents the growth of bacteria in a particular food product, where t represents time in days and f(t) represents the number of bacteria. f(t) = 500e^0.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The following equation represents the growth of bacteria in a particular food product, where t represents time in days and f(t) represents the number of bacteria. f(t) = 500e^0.      Log On


   

Question 1129143: The following equation represents the growth of bacteria in a particular food product, where t represents time in days and
f(t) represents the number of bacteria.
f(t) = 500e^0.1t
The product cannot be eaten after the bacteria count reaches 2,000,000. About how many days will it take before the product is inedible? (Round your answer to the nearest full day.)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f(t) = 500e^0.1t
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f(t) = 500e^(0.1t)

f%28t%29+=+500e%5E%280.1t%29


500e%5E%280.1t%29=2000000

e%5E%280.1t%29=2000000%2F500
e%5E%280.1t%29=20000%2F5
e%5E%280.1t%29=4000
0.1t=ln%284000%29

t=10%2Aln%284000%29

highlight%28t=83%29