Download Logarithmic/Exponential Equations Review

Math 3
Name___________________________________ ID: 1
Logarithmic/Exponential Equations Review
Date________________ Period____
Rewrite each equation in logarithmic form.
y
y
1) x = 12
2) 2 = x
Solve each equation by getting the same base.
3x
2
x
1
8
3) 7 = 7
5) 64 =
3r
4) 216 = 6
6) 36
−3x − 2
2
= 216
3x
Solve each equation. Round your answers to the nearest ten-thousandth.
n
p
7) 10 = −17
9) 3 ⋅ 10
11) −14
n+5
8) 5e = 12
= 52
7 − 10x
10) 9 ⋅ 3
2 − 2n
+ 5 = 21
+ 3 = −80
Rewrite each equation in exponential form.
12) log 19 x = 6
13) log b 176 = a
Use a calculator to approximate each to the nearest thousandth.
14) log 7 6.3
15) log 5 −39
Solve each equation.
16) log 19 (5n + 2) = log 19 (4n − 2)
17) log 13 (14 + 3x) = log 13 ( x 2 + 8x)
18) log 2 n = −2
19) log 12 x + 5 = 3
20) 2 log (n + 9) = 0
21) 6 − 2 log 9 (−9v − 7) = 4
22) −4 log 3 (−5v − 5) − 5 = −5
Worksheet by Kuta Software LLC
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Answers to Logarithmic/Exponential Equations Review (ID: 1)
1) log x 12 = y
{ }
1
2
9) −3.7611
5) −
a
13) b = 176
17) {2}
{ }
21) −
16
9
2) log 2 x = y
{ }
4
15
0.7381
0.946
1
4
6
−
5
6) −
10)
14)
18)
22)
{}
{ }
{}
{}
2
3
7) No solution.
4)
11) 0.5326
15) Undefined
12) 19 = x
16) No solution.
3)
19)
{ }
1
144
2
9
8) 0.8755
6
20) {−8}
Worksheet by Kuta Software LLC
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