Regents Exam Questions A2.A.28: Logarithmic Equations 1
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Name: __________________________________
A2.A.28: Solve a logarithmic equation by rewriting as an exponential equation
1 The equation
equivalent to
1)
2)
3)
4)
2 The function
1)
2)
3)
4)
3 If
1)
2)
3)
4)
where
and
is
is equivalent to
, then x is equal to
7
12
64
81
4 If
1)
6 If
is
1)
2)
3)
4)
, then the solution set for x
7 If
, find x.
8 If
, find the value of m.
9 If
, find x.
10 Find the value of x that satisfies the equation
.
, what is the value of
?
11 Solve for x:
2)
3) 5
4) 25
12 Solve for x:
5 What is the value of x in the equation
1) 1.16
2) 20
3) 625
4) 1,024
?
13 If
, find the value of N.
Regents Exam Questions A2.A.28: Logarithmic Equations 1
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Name: __________________________________
14 The relationship between the relative size of an
earthquake, S, and the measure of the
earthquake on the Richter scale, R, is given by
the equation
. If an earthquake
measured 3.2 on the Richter scale, what was its
relative size to the nearest hundredth?
15 Solve for the positive value of x:
24 The solution of
1)
2)
3)
4)
is
25 Solve algebraically for the exact value of x:
16 Solve for x:
17 If
23 Solve for x to the nearest tenth:
, find the value of n.
18 Solve for x:
19 Solve algebraically for all values of x:
20 If
, find the value of x.
21 If
, find the value of x.
22 Solve algebraically for x:
Regents Exam Questions A2.A.28: Logarithmic Equations 1
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1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
ANS:
ANS:
ANS:
ANS:
ANS:
3
2
3
3
3
REF: 061106a2
ANS: 1
ANS:
64
REF: 068017siii
ANS:
32
REF: 018508siii
ANS:
16
REF: 060206siii
ANS:
81
REF: 080307siii
ANS:
7
REF: 060623b
ANS:
9998
REF: 019442siii
ANS:
7260
REF: 088715siii
ANS:
1,584.89
REF: 010324b
ANS:
3
REF: 018703siii
ANS:
6
REF: 068904siii
ANS:
2
REF: 089813siii
ANS:
5
REF: 069604siii
ANS:
REF:
REF:
REF:
REF:
011503a2
080607b
019920siii
010519b
REF: 069919siii
Regents Exam Questions A2.A.28: Logarithmic Equations 1
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REF: 011336a2
20 ANS:
2
REF: 069004siii
21 ANS:
REF: 061531a2
22 ANS:
REF: 081039a2
23 ANS:
1.7
REF: 018439siii
24 ANS: 2
25 ANS:
REF: 080228siii
Regents Exam Questions A2.A.28: Logarithmic Equations 1
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REF: 011630a2