Name:_______________________
Worksheet – Change of Base and Solving Exponential Equations (Version 2)
Directions: Please use your calculator to determine the following. Use the change of base formula when needed. Write the
change of base formula for the problem to show your work. Round your answers to the nearest thousandth when
appropriate.
1. log 4 22
2. log 897
3. log 20 721
4. log 5
1
25
5. log .001
6. log 9 250
7. log 36 6.3
8. log 9
1
80
Directions: Solve the following equations. You do not need to show your work. Try to solve them by “feel.”
x
9. 7  49
10. 64  2
x
x
x
121
4
12.   
16
 11 
216
6
11.   
125
5
Directions: Solve the following equations. DO NOT USE LOG. Show your work.
x
13. 8  16
3x
14. 625  25
x
15. 27 
1
81
x
16. 16 
1
64
Directions: Solve the following equations using logs. Show your work including any change of bases. Round to the
thousandth.
x
17. 8  240
x
18. 13  147
x
19. 6  74
x
20. 10  997
Directions: Solve the following equations any way that you see fit. Show some work. Round to the thousandth.


x
21. 4 3  5  88
2x
22. 625  125
x
23. 3  15  125
 
x
24. 4 3  100