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Submitted By crazyfire33

Words 533

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Words 533

Pages 3

8. Given: F(x) = 3x and G(x) = (1/4)x, what is G(-3)? G(-3) = (1/4)-3 = 64

14. Graph F(x) = 4x

X F(x)

0 1

1 4

2 16

-1 .25

58. 32t+1=161-t

(43)t+1=(42)1-t

4(3t+3)=4(2-2t)

3t+3 = 2-2t

5t = -1

T = -1/5

66. 1/81 = K-4

3-4=K-4

K=3

74. A= $45,000(1 + .035/12)12

$46,600.51

Section 4.3

4. 25=32 therefore log232=5

14. X=log3(1/81), therefore 3x=1/81

X=-4

16. logx(27/64) = 3

X3= 27/64 X = (27/64)

X=3/4

46. F(x) = log10X

X Y = log10X

1 0

2 .301

3 .477

4 .602

5 .699

62. log2 2 /5

Log22 + log2 -log25

1+log231/2-log25

1+1/2log23-log25

72. logbK + logbM - logbA

Logb (K*M/A)

82. Given: log102 = .3010; log103 = .4771

Log1012 = log102 + log103 + log102

Log1012 = .3010 +.4771 + .3010

=1.0791

Section 4.4

14. log.078 = -1.108 (used calculator)

30. Limes, 1.6*10-2 , ph=-log[1.6*10-2]

Ph = -log 1.6 - log10-2

Ph = -log1.6 +2

Ph = 1.80

52.

a. F(t) = 74.61 +3.84ln(t)

74.61 +3.84 ln (8)

F(t) = 82.59, function is very accurate

b. As the percentage increases towards 100% the rate of kids that volunteer will slow and a large number of years will be needed to continue to approach 100% representative of a logarithmic function. An exponential function would reach 100% in a few years, which is not representative of the rate at which the kids are volunteering.

56.

H=-[.521log2.521+.324log2.324+.0811log2.0811+.074log2.074]

H=1.59

Section 4.5

6. 5x=13

Ln5x=13

Xln5=ln13

X = ln13/ln5 = 1.59

24. 5(1.2)3x-2 + 1 = 7

5(1.2)3x-2=6

ln1.23x-2=ln6/5

(3x-2)ln1.2 = ln6/5

3x-2 = ln(6/5)/ln1.2

3x = [ln(6/5)/ln1.2] +2

X = [[ln(6/5)/ln1.2] +2]/3

X=1

60. R=p-kln(t) r-p=-kln(t) p-r=kln(t)

(p-r)/k = ln(t) e[(p-r)/k]=t 76. 20,000=16,000(1+r/4)5.25*4

1.25=(1+r/4)21

Ln1.25 = 21ln(1+r/4)

Ln1.25/21 =ln(1+r/4)

e.010626=1+r/4

1.0107 = 1+r/4

.0107=r/4

r=.04, therefore rate =40%

94. (ex)2-4ex+3 = (ex-3)(ex-1)

Section 4.6

2. Given: y=2e.2x

A. 3 mil = 2e.2x

1.5mil = e.2x

Ln1.5 = .2x

X=ln1.5/.2 = 2.03 years

B. 2e.2x=6

e.2x=3

lne.2x=ln3

.2x=ln3

X=ln3/.2=5.49

10. M=1 M=3

1=6-5/2logx 3=6-5/2logx

5=5/2logx 3=5/2logx

10=5logx 6=5logx

2=logx 6/5=logx

X=100 X=15.8

Ratio; 100:16 or 25:4

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