Question : Graph. 1) f(x) = log^3x : 2162225
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph.
1) f(x) = log3x
A)
B)
C)
D)
2) f(x) = log1/2x
A)
B)
C)
D)
Graph both functions using the same set of axes.
3) f(x) = 2x, f-1(x) = log2x
A)
B)
C)
D)
Convert to a logarithmic equation.
4) 62 = 36
A) 36 = log62
B) 2 = log636
C) 2 = log366
D) 6 = log236
5) 42 = 16
A) 4 = log216
B) 16 = log42
C) 2 = log164
D) 2 = log416
6) 2-2 = (1/4)
A) -2 = log2(1/4)
B) -2 = log1/42
C) (1/4) = log2-2
D) 2 = log-2(1/4)
7) 2161/3 = 6
A) 6 = log1/3216
B) 6 = log216(1/3)
C) (1/3) = log2166
D) (1/3) = log6216
8) e-5 = 0.006738
A) -5 = loge0.006738
B) e = log-50.006738
C) 0.006738 = log-5e
D) 0.006738 = loge-5
Convert to an exponential equation.
9) log864 = 2
A) 642 = 8
B) 28 = 64
C) 82 = 64
D) 864 = 2
10) log9(1/81) = -2
A) 29 = (1/81)
B) 981 = 2
C) 9-2 = (1/81)
D) (1/81)2 = 9
11) log51 = 0
A) 05 = 1
B) 10 = 5
C) 50 = 1
D) 51 = 0
12) logwQ = 4
A) w4 = Q
B) 4w = Q
C) Qw = 4
D) Q4 = w
13) log101000 = 3
A) 100010 = 3
B) 310 = 1000
C) 10003 = 10
D) 103 = 1000
14) loge56 = 4.025
A) 56e = 4.025
B) e56 = 4.025
C) e4.025 = 56
D) 564.025 = e
Solve.
15) log39 = x
A) 27
B) 12
C) 3
D) 2
16) log3(1/27) = x
A) (1/81)
B) 3
C) -3
D) (1/9)
17) log3x = 2
A) 9
B) 8
C) 6
D) 5
18) log2x = -3
A) -1
B) -6
C) (1/9)
D) (1/8)
19) log51 = x
A) 1
B) 0
C) 25
D) 5
20) logx125 = 3
A) 5 or -5
B) 3
C) 5
D) 3 or -3