Exponential Equations Not Requiring Logarithms
Kuta Software - Infinite Algebra 2
Name___________________________________
Exponential Equations Not Requiring Logarithms
Date________________ Period____
Solve each equation.
1) 42x + 3 = 1
2) 53 - 2x = 5-x
3) 31 - 2x = 243 5) 43x - 2 = 1
4) 32a = 3-a 6) 42 p = 4-2 p - 1
7) 6-2a = 62 - 3a
8) 22x + 2 = 23x
9) 63m 6-m = 6-2m 11) 10-3x 10x = 1
10
10) 2 x = 2-2x 2 x
12) 3-2x + 1 3-2x - 3 = 3-x
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-1-
Worksheet by Kuta Software LLC
13) 4-2x 4 x = 64 15) 2x 1 = 32
32 17) 64 16-3x = 163x - 2
14) 6-2x 6-x = 1 216
16) 2-3 p 22 p = 22 p 18) 813n + 2 = 34
243-n
19) 81 9-2b - 2 = 27
( ) 21) 1 3x + 2 2163x = 1
6
216
23) 16r 643 - 3r = 64
20) 9-3x 9 x = 27 22) 243k + 2 92k - 1 = 9 24) 162 p - 3 4-2 p = 24
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Exponential Equations Not Requiring Logarithms
Date________________ Period____
Solve each equation.
1) 42x + 3 = 1
{ }3 - 2
2) 53 - 2x = 5-x
{3}
3) 31 - 2x = 243
{-2}
4) 32a = 3-a
{0}
5) 43x - 2 = 1
{
2 3
}
7) 6-2a = 62 - 3a
{2}
6) 42 p = 4-2 p - 1
{ }1 - 4
8) 22x + 2 = 23x
{2}
9) 63m 6-m = 6-2m
{0}
10) 2 x = 2-2x 2 x
{0}
11) 10-3x 10x = 1 10
{
1 2
}
12) 3-2x + 1 3-2x - 3 = 3-x
{ }2 - 3
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-1-
Worksheet by Kuta Software LLC
13) 4-2x 4 x = 64
{-3}
15) 2x 1 = 32 32
{10}
17) 64 16-3x = 163x - 2
{ }7 12
14) 6-2x 6-x = 1 216
{1}
16) 2-3 p 22 p = 22 p
{0}
18) 813n + 2 = 34 243-n
{ }4 - 17
19) 81 9-2b - 2 = 27
{ }3 - 4
20) 9-3x 9 x = 27
{ }3 - 4
( ) 21) 1 3x + 2 2163x = 1
6
216
{ }1 - 6
22) 243k + 2 92k - 1 = 9
{ }2 - 3
23) 16r 643 - 3r = 64
{
6 7
}
24) 162 p - 3 4-2 p = 24
{4}
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Worksheet by Kuta Software LLC
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