Download PED-HSM11A2TR-08-1103-006-L01.indd - MORGAN MATH

Logarithms & Exponentials Review
Name:___________________________
This and the practice test will help you prepare for next week’s assessment. Solution station
is posted on board and Weebly.
Solve each equation.
1. 8  3x  1
2. log 3 81  x
3. log x  log3  2
4. You put $2000 into an account earning 4% interest compounded continuously. Find the amount in
the account at the end of 8 years.
Evaluate each logarithm.
5. log 5 125
6. log 1
2
8. log 9
1
3
1
4
9. log 1 16
7. log 3 729
10. log8
4
1
256
Write each equation in logarithmic form.
3
11. 73  343
27
2

8
3
12.  
13. 24  0.0625
Write each logarithmic expression as a single logarithm.
14. log 2 − 3 log 1
15. log a − log ab
16.
1
(log 4 x  log 4 z )
3
Use the Change of Base Formula to rewrite each expression using common
logarithms.
17. log4 12
18. log2 5
19. log8 14
Natural Logarithms: Write each expression as a single logarithm.
20. ln 3 + ln 4
21. 3 ln x – ln 5
22. (ln 3x + ln 4) − ln 8
Solve each equation. Round your answers to the nearest tenth.
23. ln (3x + 1) = 4
24. ln (y − 2) = 3
25. 3 ln 2x = 3
Solve each equation. Round your answers to the nearest thousandth.
26. 2e4 x  4  10
x
27. e 2  6  12
28. e x 2  28
29. A parent increases a child’s allowance by 15% each year. If the allowance is $3
now, when will it reach $22?
30. A scientist notes that the number of bacteria in a colony is 50. Two hours later, she notes
that the number of bacteria has increased to 90. If this rate of growth continues, how much
more time (to the nearest tenth of an hour) will it take for the number of bacteria to reach
200?
Do you UNDERSTAND?
31. Writing Describe the effect of different values of a on the function y  ab x .
32. Vocabulary State which property or properties need to be used to write each
expression as a single logarithm.
a. log 6 16  log 6 4
b. 2log 2 3  log 2 4
33. Reasoning Identify each function as linear, quadratic, or exponential. Explain
your reasoning.
a. y  4(2) x
b. y  6( x)2  1