Logarithm and Bacteria
Name:______________________________ Exponential and Logarithmic Functions.
1. Fill in the chart and graph: x -3
-2
-1
0
1
2
3
2. Graph Note:
3. Graph the following: 4.
5. Convert to log form
6. Evaluate the logarithm without a calculator:
7. Solve the following equations:
8. Fill in the chart and graph: x 1/4
1/2
0
2
4
8
16
9. A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria.
a. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
b. After 10 hours, how many bacteria will there be?
c. When will there be 10,000 bacteria?
10. A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?
Name:______________________________ Exponential and Logarithmic Functions.
1. Fill in the chart and graph: x -3
-2
-1
0
1
2
3
2. Graph Note:
3. Graph the following: 4.
5. Convert to log form
6. Evaluate the logarithm without a calculator:
7. Solve the following equations:
8. Fill in the chart and graph: x 1/4
1/2
0
2
4
8
16
9. A biologist is
1. Fill in the chart and graph: x -3
-2
-1
0
1
2
3
2. Graph Note:
3. Graph the following: 4.
5. Convert to log form
6. Evaluate the logarithm without a calculator:
7. Solve the following equations:
8. Fill in the chart and graph: x 1/4
1/2
0
2
4
8
16
9. A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria.
a. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
b. After 10 hours, how many bacteria will there be?
c. When will there be 10,000 bacteria?
10. A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?
Name:______________________________ Exponential and Logarithmic Functions.
1. Fill in the chart and graph: x -3
-2
-1
0
1
2
3
2. Graph Note:
3. Graph the following: 4.
5. Convert to log form
6. Evaluate the logarithm without a calculator:
7. Solve the following equations:
8. Fill in the chart and graph: x 1/4
1/2
0
2
4
8
16
9. A biologist is