5.3 Day 4 Homework Worksheet:
Name
(1-7) Evaluate
log32
1
32
1. log5 52
2. 32
5. log4 163
1
6. log3  
 81 
3. 4log4 8
12
7.
log6 6
6
4. log5
1
216
(8-13) Let Z = log49 and Y = log45. Rewrite the following logarithms using Z and Y.
 25 
8. log 4  
9. log4 36
10. log4 80
 9 
11. log4 3 5
 81 
12. log 4 

 625 
13. log4
(14-17) Rewrite as a single logarithm:
14. 2log4 6  log4 2
15. 3log3 2  2log3 4
16. log4 81  log4 27  4log4 2
17. log2 x  3log2 x3  3log x x
1
5
5
625
(18-22) Solve
1
18. 2log10 6  log10 27  2log10 x
3
19. log6(a2  2)  log6 2  2
20. log3 5  log3 x  log3 3
21. log2(y  2)  log2(y  2)  1


22. log10 x log10 x  4
A little more Challenging  DON’T skip these  (23-27) Evaluate:

23. log12 log9  log 5  log2 32  

25. log7 7

log7 343


5
27. log4 2 8  log8


24. log2 16  log2 1
26. log7 8  log7 1

3
0.25

8
4
 log 8
2