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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Solving Exponential Equations with Logarithms
Solve each equation. Round your answers to the nearest ten-thousandth.
1)
3
b
= 17 2)
12
r
= 13
3)
9
n
= 49 4)
16
v
= 67
5)
3
a
= 69 6)
6
r
= 51
7)
6
n
= 99 8)
20
r
= 56
9)
5 ⋅
18
6
x
= 26 10)
e
x − 1
− 5 = 5
11)
9
n + 10
+ 3 = 81 12)
11
n − 8
− 5 = 54
-1-
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Worksheet by Kuta Software LLC
13)
16
n − 7
+ 5 = 24 14)
20
−6
n
+ 6 = 55
15)
5 ⋅
6
3
m
= 20 16)
8
−5
a
− 5 = 53
17)
3.4
e
2 − 2
n
− 9 = −4 18)
−6
e
8
n + 8
− 3 = −23
19)
−
e
−3.9
n − 1
− 1 = −3 20)
−2
e
7
v + 5
− 10 = −17
21)
−3
e
7
a + 9
+ 6 = −6 22)
−3
e
9
x − 1
+ 6 = −58
23)
−
e
6 − 9
p
+ 5 = −48.4 24)
−10
e
2 − 2
b
− 6 = −66
25)
6
e
−4
k − 10
− 4 = 63 26)
6
e
5
x − 6
− 4 = 50
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Solving Exponential Equations with Logarithms
Solve each equation. Round your answers to the nearest ten-thousandth.
1)
3
b
= 17
2.5789
2)
12
r
= 13
1.0322
3)
9
n
= 49
1.7712
4)
16
v
= 67
1.5165
5)
3
a
= 69
3.854
6)
6
r
= 51
2.1944
7)
6
n
= 99
2.5646
8)
20
r
= 56
1.3437
9)
5 ⋅
18
6
x
= 26
0.0951
10)
e
x − 1
− 5 = 5
3.3026
11)
9
n + 10
+ 3 = 81
−8.0172
12)
11
n − 8
− 5 = 54
9.7005
-1-
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Worksheet by Kuta Software LLC
13)
16
n − 7
+ 5 = 24
8.062
14)
20
−6
n
+ 6 = 55
−0.2165
15)
5 ⋅
6
3
m
= 20
0.2579
16)
8
−5
a
− 5 = 53
−0.3905
17)
3.4
e
2 − 2
n
− 9 = −4
0.8072
18)
−6
e
8
n + 8
− 3 = −23
−0.8495
19)
−
e
−3.9
n − 1
− 1 = −3
−0.4341
20)
−2
e
7
v + 5
− 10 = −17
−0.5353
21)
−3
e
7
a + 9
+ 6 = −6
−1.0877
22)
−3
e
9
x − 1
+ 6 = −58
0.4511
23)
−
e
6 − 9
p
+ 5 = −48.4
0.2247
24)
−10
e
2 − 2
b
− 6 = −66
0.1041
25)
6
e
−4
k − 10
− 4 = 63
−3.1032
26)
6
e
5
x − 6
− 4 = 50
1.6394
-2-
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