5.3 Day 1 Homework
1. Describe the relationship between logarithmic functions and exponential functions in your own words
(2-7) Rewrite in exponential form
(8-12) Rewrite in exponential form
2. log3 81  4
8.
3
8  42
9  27
2
3
3. log5 125  3
9.
4. log10 0.001  3
10.
1

1
 32 5
2
5. log10 1000  3
11.
1
 23
8
1
6. log 6
 2
36
8
2
12.   
 3  27
7. log 2
3
1
 6
64
13. Graph f(x) and f 1( x )
2
f(x) =  
3
x
f 1( x )  ________________________
14.
Graph:
f(x) = log3 x
Domain of f(x): __________________________
Range of f(x): ____________________________
15. Think about it: Why is log b 1  0 for any base?
Evaluate:
16. log 5 59
18.
7log7 4
17. log10 103 x 1
19.
12log12 (5x1)
20. Practice your powers.
22 =
32 =
42 =
52 =
62 =
132 =
23 =
33 =
43 =
53 =
63 =
142 =
24 =
34 =
44 =
54 =
72 =
152 =
25 =
35 =
73 =
162 =
26 =
172 =