A 1. Solve each equation. ch a) 4 43 b) 7* = 72 c) 2 27 d) 52x 53 and 5, e 1.

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Chapter2: Second-order Linear Odes
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Practice
A
1. Solve each equation.
Ip with
ons 1 and 5,
ample 1.
a) 4 43
b) 7* = 72
c) 2x 27
d) 52x 53
2. Solve each equation.
a) x-8= 7
b) 4x + 1 9
c) 11-2x =5+ x
d) 2(x- 6) = 3x
3. Solve each equation.
a) 3* + 3 = 38
b) 10*-3 = 10-2
c) 23x = 28 - x
d) 63x- 7 = 6* + 2
4. Express each number as a power.
a) 36 as a power of 6
b) 16 as a power of 2
c) 125 as a power of 5
d) 1000 as a power of 10
5. Express the right side of the equation as a power of 3, then solve the
equatic
1
b) 3x =
9 A C) 32x = 81
How do you know that your answers are correct?
a) 3* = 9
d) 3*+5 = 27
6. a) Solve 2* = 16. Explain your strategy.
b) Can you use the same strategy to solve 2* = 25? Explain.
7. Solve each equation algebraically.
b) 42x 64
a) 5* 125
c) 2x+1 = 8
d) 6*-1 36
e) 72x - 1 = 49
f) 10 -2x = 100
g) 3x + 1 =
9.
h) 23x + 6 = 1
8. Choose two equations from question 7. Explain the steps in the solution.
Transcribed Image Text:Practice A 1. Solve each equation. Ip with ons 1 and 5, ample 1. a) 4 43 b) 7* = 72 c) 2x 27 d) 52x 53 2. Solve each equation. a) x-8= 7 b) 4x + 1 9 c) 11-2x =5+ x d) 2(x- 6) = 3x 3. Solve each equation. a) 3* + 3 = 38 b) 10*-3 = 10-2 c) 23x = 28 - x d) 63x- 7 = 6* + 2 4. Express each number as a power. a) 36 as a power of 6 b) 16 as a power of 2 c) 125 as a power of 5 d) 1000 as a power of 10 5. Express the right side of the equation as a power of 3, then solve the equatic 1 b) 3x = 9 A C) 32x = 81 How do you know that your answers are correct? a) 3* = 9 d) 3*+5 = 27 6. a) Solve 2* = 16. Explain your strategy. b) Can you use the same strategy to solve 2* = 25? Explain. 7. Solve each equation algebraically. b) 42x 64 a) 5* 125 c) 2x+1 = 8 d) 6*-1 36 e) 72x - 1 = 49 f) 10 -2x = 100 g) 3x + 1 = 9. h) 23x + 6 = 1 8. Choose two equations from question 7. Explain the steps in the solution.
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