1. Double Jeopardy Final Jeopardy $200 $200 $200 $200 $200 $400 $400 $400
Miscellaneous
Facts
Solving Logs
with
Properties
Solving Log
Equations
Solving
Exponential
Equations
Graphs of
Logs
$200
$200
$200
$200
$200
$400
$400
$400
$400
$400
$600
$600
$600
$600
$600
$800
$800
$800
$800
$800
Final Jeopardy

2. Miscellaneous Facts - $200
What is the base of log 𝑥 ? 10

3. Miscellaneous Facts - $400
What is the approximate value of 𝑒?
𝑒≈2.718

4. Miscellaneous Facts - $600
What is the base of ln 𝑥
The base is e

5. Miscellaneous Facts - $800
Define asymptote and say whether logarithms have vertical or horizontal asymptotes
Asymptote – The invisible line which a curve approaches but never touches.
Logarithms have vertical asymptotes.

6. Solving with Properties- $200
If log 2 3 =1.58 and log 2 7 =2.81
Find the value of log 2 21
log =4.39

7. Solving with Properties - $400
If log 3 7 =1.77 and log =2.18
Find the value of log
log =0.41

8. Solving with Properties - $600
If log 2 3 =1.58
Find the value of log 2 6
log 2 6 =2.58

9. Solving with Properties - $800
If log 4 2 =0.5 and log 4 5 =1.16
Find the value of log
log =0.66

10. Solving Log Equations - $200
Solve for x.
log 2 𝑥 = log 2 7
𝑥=7

11. Solving Log Equations - $400
Solve for x.
log 2 2𝑥+1 = log 2 25
𝑥=12

12. Solving Log Equations - $600
Solve for x.
3 log 2 𝑥 = log 2 8
𝑥=2

13. Solving Log Equations - $800
Solve for x.
log 2 𝑥 + log 2 4 − log 2 3 = log 2 8
𝑥=6

14. Solving Exponentials - $200
Solve for x.
2 𝑥 =8
𝑥=3

15. Solving Exponentials - $400
Solve for x.
𝑒 𝑥 =2.718
𝑥=1

16. Solving Exponentials - $600
Solve for x.
5 𝑥 =50
𝑥=2.43

17. Solving Exponentials - $800
Solve for x.
3 𝑥−3 =230
𝑥=7.95

18. Graphs of Logs - $200
In the graph of 𝑦= log 4 (𝑥+2) , what does the "+2" change about the graph?
Shifts the graph to the left 2 units.

19. Graphs of Logs - $400
In the graph of 𝑦= −5+log 4 𝑥 , what does the "−5" change about the graph?
Shifts the graph down 5 units.

20. Graphs of Logs - $600 How does the graph of 𝑦= 4+log 3 (𝑥−3)
change the graph of 𝑦= log 3 𝑥 ?
Shifts the graph up 4 units and right 3 units.

21. Graphs of Logs - $800
Write the logarithmic equation which would show a shift of left 4 and down 3 and whose base is e.
−3+ln (𝑥+4)

22. Final Jeopardy John was asked to expand a tricky logarithm.
This is what his expanded log looks like.
log 𝑥 3 +8 − log log 2 𝑥−6
There are 2 mistakes with John’s expansion, list both mistakes.
Mistake 1: He forgot the base on log 𝑥 3 +8
Mistake 2: He added the part of the log with x – 6 instead of subtracting.