Exponential Equations Not Requiring Logarithms Practice

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 4) 32a = 3−a
5) 43x − 2 = 1 6) 42 p = 4−2 p − 1

7) 6−2a = 62 − 3a 8) 22x + 2 = 23x

9) 63m ⋅ 6−m = 6−2m 10) 2 x = 2−2x
11) 10−3x ⋅ 10x = 1 2x

10 12) 3−2x + 1 ⋅ 3−2x − 3 = 3−x

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13) 4−2x ⋅ 4 x = 64 14) 6−2x ⋅ 6−x = 1
15) 2x ⋅ 1 = 32 216

32 16) 2−3 p ⋅ 22 p = 22 p
17) 64 ⋅ 16−3x = 163x − 2 18) 813n + 2 = 34

243−n

19) 81 ⋅ 9−2b − 2 = 27 20) 9−3x ⋅ 9 x = 27
22) 243k + 2 ⋅ 92k − 1 = 9
( )21) 1 3x + 2 ⋅ 2163x = 1 24) 162 p − 3 ⋅ 4−2 p = 24
6 216
23) 16r ⋅ 643 − 3r = 64

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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 {3}
−
2

3) 31 − 2x = 243 4) 32a = 3−a

{−2} {0}

5) 43x − 2 = 1 6) 42 p = 4−2 p − 1

{ 2 } { }1
3 −
4
7) 6−2a = 62 − 3a
8) 22x + 2 = 23x
{2}
{2}

9) 63m ⋅ 6−m = 6−2m 10) 2 x = 2−2x
2x
{0}
{0}

11) 10−3x ⋅ 10x = 1 12) 3−2x + 1 ⋅ 3−2x − 3 = 3−x
10
{ }2
{ 1 } −
2 3

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13) 4−2x ⋅ 4 x = 64 14) 6−2x ⋅ 6−x = 1
216
{−3}
{1}
15) 2x ⋅ 1 = 32
32 16) 2−3 p ⋅ 22 p = 22 p

{10} {0}

17) 64 ⋅ 16−3x = 163x − 2 18) 813n + 2 = 34
243−n
{ }7
12 { }4
−
17

19) 81 ⋅ 9−2b − 2 = 27 20) 9−3x ⋅ 9 x = 27

{ }3 { }3
− −
4 4

( )21) 1 3x + 2 ⋅ 2163x = 1 22) 243k + 2 ⋅ 92k − 1 = 9
6 216
{ }1 { }2
− −
6 3

23) 16r ⋅ 643 − 3r = 64 24) 162 p − 3 ⋅ 4−2 p = 24

{ 6 } {4}
7

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