Logarithmic Equations Worksheet
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3Regents Exam Questions A2.A.28: Logarithmic Equations 3
Name: ________________________
A2.A.28: Logarithmic Equations 3: Solve a logarithmic equation by rewriting as an exponential
equation
1 If log 28 log4 logx , what is the value of x?
1)
7
2)
14
3)
24
4)
32
4 log
9 2 , x is equal to
2 In the equation log
x
x
1)
13
2)
6
3)
6.5
4)
18
36 log
2 log
3 Solve for x: log
x
b
b
b
(x 6) log
(x 6) 2
4 Solve for x: log
8
8
5 Solve for all values of x:
(x 4) log
(x 2) 3
log
3
3
2
3x) log
(x 5) 1
6 Solve for x: log
(x
4
4
2
4) log
(x 2) 2
7 Solve for x: log
(x
3
3
8 Solve algebraically for all values of x:
(2x 3) log
(x 5) 2
log
(x 3)
(x 3)
9 Solve algebraically, to the nearest hundredth, for
all values of x:
2
7x 12) log
(2x 10) 3
log
(x
2
2
10 Solve for p algebraically:
3
2
p 4) log
(2p 11)
log
(p
4
16
16
1
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