Download Algebra 2 Chapter 10 Worksheet 1*Exponential Functions

Hon Math III Unit 5 Quiz Review Guide
Exponential & Logarithmic Functions
I. Simplify each expression:
1.
x
45
x
20
166 n4
4. 3 n7
8
9a 4b  3 2a b
2.
5 x  3  5 2 x 1
3.
5.
(a 6 )
6. ( m
2
2 x5 3 x
)
II. Solve each Equation or Inequality:
7.
10.
4
2 x3
7
 64
5 x3
x 1
 49
8.
8
3
5 x
11. 4
2
3
13. 7 x  1  27
 27
3 x  10
2x
9. 25
 1
 
 16 
14. 5  ( 3 x  5)
2 x 4
1
2
3 x 1
 8 
12.  
 27 
1
 
 5
2 x7
x4
 9
 
 4
8 3 x
4
15. 9  2 x  1  6
III. Write each equation in logarithmic form:
16. 5
3
1

125
17.
8  16
3
4
18.
ab  c
19.
7 2 x  1  343
IV. Write each logarithmic function in exponential form:
20. log 6 36  2
1
 3
21. log 4
64
22.
log 8 4 
26.
log 16 4
2
3
23.
log x y  z
27.
log b b 5
V. Evaluate each expression:
24.
log 3 27
25. log 6
1
36
VI. Condense each log expression below into a single log expression and coefficient of 1:
28.
3 log 2 x  2 log 2 y
29.
log z 14  log z 2
30. 5 log 5 a  3 log 5 b  2 log 5 c
VII. Solve each log equation or inequality:
31.
33.
35.
log 2 x  5
log x 216  3
log 7 ( x  6)  log 7 (3 x  4)
32.
log 7 x  2
34.
log 5 ( 2 x  1)  2
36.
log a (5 x  2)  log a ( x  6)
VII. Solve each log equation or inequality:
log 9 (3 x  7)  log 9 ( x  2)
37. log 4 ( x  7)  log 4 ( 2 x  8)
38.
39. log 2 ( x )  log 2 ( 3)  log 2 (7 x  16)
40. log 2 ( x  5)  log 2 (5 x  2)  log 2 (3)
2
2
VIII. Find the Inverse of each function given:
41. f ( x ) 
7
3 x
44. f ( x )  3 log 5 (4 x )
42. g( x ) 
2x  1
5x  4
45. g( x )  3  7  2
x
43. h( x )  log 3 ( x  5)
46. h( x )  ( 2  7)
x
1
3