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WorksheetsAlgebra C&C Exponential Functions
Total questions: 26
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
Is this exponential growth or decay?
a)
Growth
b)
Decay
2.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
3.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
4.
Solve for x.
5x = 1
a)
0
b)
-1
c)
2
d)
1
5.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
6.
Write the exponential equation as a logarithm
63=216
63=216
a)
log6(3) = 216
b)
log3(6) = 216
c)
log6(216)=3
d)
log216(6)=3
7.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
8.
Graph
a)
A
b)
B
c)
C
d)
D
9.
Solve
a)
A
b)
B
c)
C
d)
D
10.
Find the value of v.
3 = logv1000
3 = logv1000
a)
36
b)
56
c)
10
d)
20
11.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
12.
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
13.
Write an exponential function to model the situation. Solve.
4) You invest $1500 at a rate of 3.5% . What will the balance be after 4 years?
4) You invest $1500 at a rate of 3.5% . What will the balance be after 4 years?
a)
B(t) = 1500(1.035)t ; $221.28
b)
B(t) = 1500(1.035)t ; $1721.28
c)
B(t) = 1500(.035)t ; $221.28
d)
B(t) = 1500(1.035)t ; $1628.85
14.
Evaluate.
2log212
2log212
a)
6
b)
2
c)
9
d)
12
15.
Rewrite using log rules:
log4x2
log4x2
a)
log4 + logx2
b)
log4/logx2
c)
log4x2
d)
2log4x
16.
Condense the following log into a single log;
log8y + ⅓log8(x) - 2log8(z)
log8y + ⅓log8(x) - 2log8(z)
a)
log8 ((yx)/z2))
b)
log8(y/(∛xz2))
c)
log8(xyz)
d)
log8((y∛x)/z2))
17.
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
log6(3x - 2) = log6(5x - 8)
a)
x = 3
b)
x = 2
c)
x = -1
d)
No Solution
18.
log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
19.
condense log1215+3log124
a)
log12
b)
log12960
c)
log1243
d)
log1299
20.
4(x-2)= 64(x+1)
a)
-2/5
b)
-5/2
c)
7/2
d)
2/7
21.
Solve for x:
4x- 5 = 12
4x- 5 = 12
a)
0.489
b)
2.552
c)
0.893
d)
2.044
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
0.76
b)
23.30
c)
0.91
d)
3.46
24.
a)
2.51
b)
-0.37
c)
-2.28
d)
-0.04
25.
a)
-9.75
b)
-1
c)
-147.89
d)
9
26.
Solve the Equation
a)
m = -0.84
b)
m = -1.49
c)
m = -1.40
d)
m = -2.55
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