1. THE MATH OF BACTERIA, LOGARITHMS By: Jamie log ue

2. BACTERIA

3. PHASES OF BACTERIAL GROWTH

4. Lag Phase

5. PHASES OF BACTERIAL GROWTH Logarithmic Phase

6. PHASES OF BACTERIAL GROWTH Stationary Phase

7. PHASES OF BACTERIAL GROWTH Death Phase

8. PHASES OF BACTERIAL GROWTH

9. LOGARITHM NOTATION Logarithm = Exponent log a b = c a c = b Base “the logarithm is the inverse operation to exponentiation”

10. LOGARITHM NOTATION Logarithm = Exponent log a b = c a c = b Solution

11. LOGARITHM NOTATION Logarithm = Exponent log a b = c a c = b Exponent

12. LOGARITHM NOTATION Logarithm = Exponent log a b = c a c = b Log Sign

13. SOLVING LOGARITHMS log a b = c a c = b 2 x = 16 log 2 16 = x 2 x 2x 2 =16 log 2 16 = 4

14. COMMON LOGARITHM = log 10 log

15. LOGARITHMS  Log Rules  Relationship to Exponents  Applications  Richtor Scale  PH Scale  Logarithmic Growth

16. LOGARITHMS IN BACTERIA A scientist is growing bacteria in a petri dish, if she started the experiment with 10 bacteria in the dish and it doubles every hour how long would it take for the petri dish to contain 1 million bacteria?

17. HOW MANY BACTERIA? X = number of hours 10(2) x = 1 000 000 2 x = 100 000 log 2 100 000 = x log (100 000) log (2) = x X = 16.6

18. THE MATH OF BACTERIA, LOGARITHMS By: Jamie log ue