AFM Unit 6 STUDY GUIDE Logarithmic Functions
Short Answer
1. Write
in logarithmic form.
10. Write
2. Find the value of
Base Formula.
3. Expand
in logarithmic form.
using the Change of
Round your answers to the nearest thousandth.
.
11. Solve
4. Solve
12. Solve
.
.
.
13. Evaluate
5. Evaluate
.
6. Condense
14. Condense
.
7. Write
in logarithmic form.
8. Solve
.
.
.
15. Solve
16. Write
17. Solve
.
in logarithmic form.
.
9. Condense
.
18. BIOLOGY The table below shows the population of a given bacteria colony.
Let x represent the number of days and let y represent the population in thousands. Write a regression equation for
the exponential model of the data.
224. Find an exponential function to model the data and
Evaluate each expression.
find the value of the model at x = 2.25.
19.
Solve each equation.
20.
21.
Solve each logarithmic equation.
22.
23. Solve
x
1
2
3
4
5
6
7
y
7.20
3.20
1.45
0.66
0.30
0.13
0.06
25. Find a logarithmic function to model the data and
find the value of the model at x = 15.
x
1
2
3
4
5
6
7
y
21.0
25.16
27.60
29.32
30.66
31.75
32.68
AFM Unit 6 STUDY GUIDE Logarithmic Functions
Answer Section
SHORT ANSWER
1.
2. 1.850
3.
4. 6
5. 2
6.
7.
8. 1.805
9.
10.
11. 7.432
12. 0.791
13. 3.14
14.
15. 4
16.
17. about 7.1754
18.
19.
20.
21.
22.
–2
5
2.11
0.25
23.
24. f(x) = 15.94(0.45)x; 2.646
25. y = 21 + 6 ln x; 37.25