PM12 - Logarithms Practice Exam - Claremont Secondary School
Principles of Math 12: Logarithms Practice Exam
1
Principles of Math 12 - Logarithms Practice Exam
Use this sheet to record your answers
1. 2. 3. 4. 5. 6. NR 1. 7. 8. NR 2. 9.
10. 11. 12. NR 3. 13. 14. NR 4. 15. 16. 17. 18.
19.
30.
20.
31.
22.
32.
23.
33.
24.
NR 7.
25.
26.
27.
28.
29.
Copyright ? Barry Mabillard, 2006
Principles of Math 12: Logarithms Practice Exam
2
Logarithms Practice Exam
1.
The graph of
f (x) = bx
and the graph of
g
(x)
=
1 b
x
,
where
b
>
0,
are
reflections of each other about the line
A. y = x B. y = b C. x = 0 D. y = 0
Use the following information to answer the next question.
Equation I
y = log x log 3
Equation II y = x3
Equation III y = x - 6
Equation IV y = ( x - 6)3
2. A solution to the equation log3 x = x - 6 could be approximated using technology by graphing equations
A. I and III B. I and IV C. II and III D. II and IV
3.
The
expression
log 1
5
1 x
is
equivalent
to
A.
log5
1 x
B. log1 5
x
C. log (5x)
D. log5 x
Principles of Math 12: Logarithms Practice Exam
3
Use the following information to answer the next question.
The power rating of a particular dynamic electronic circuit is given by the equation
P = 1- w-0.246t
where P is the power rating, t is amount of time since the circuit is switched on, and w is a constant.
4. After the circuit has been operational for 43 seconds, the power rating is 0.83. The value of w, to the nearest hundredth, is
A. 0.09 B. 0.25 C. 1.18 D. 10.58
( ) ( ) 5. The expression logx y3z - logx yz2 is equivalent to
( ) A. logx y2z3
B.
log x
y2 z
C. 3logx y + logx z - logx y + 2 logx z D. 1
6. The value of b in the equation 7 = (3 + b)4 is equivalent to
log 7 A. 34 B. log4 7
log4 3 C. 74 - 3
D. 4 7 - 3
Numerical Response 1. If xy = 8, then to the nearest tenth, the value of 5log2x + 5log2y is ________ .
Principles of Math 12: Logarithms Practice Exam
4
7. The solution to the equation 23x = 5-x-1 , correct to the nearest hundredth, is
A. -0.081 B. -0.436 C. 0.413 D. 1.455
Use the following information to answer the next question.
The mass of a radioactive sample is represented in the graph below. The initial mass of 32 mg decays to 8 mg after 21 hours.
8. The half-life of the radioactive sample, in minutes, is
A. 60 B. 420 C. 630 D. 1260
Numerical Response
( ) 2.
Given a5x =
logc ca
3x+8
, the value of x, to the nearest hundredth is _________.
Principles of Math 12: Logarithms Practice Exam
5
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