Trashketball Review

Chapter 3

Exponents and Logarithms

Trashketball Review of ch 4

1

2

34

78

6

5 10

12

11

9

16

15

1413

20

191817

23

22

21

24

2726

25

28

30

29

3231

33

35

34

1Solve.

52x = 59x + 7

x = -1

2Solve.

x = -2, 5

4 42 6 3 4x x

3Solve.

x = 1 6

161

643 2x

4Solve.

27x = 800

x = 1.378

5Solve.

logx 512 = 3

x = 8

6Solve.

log8 (3x - 6) = log8 (9x + 23)

x 296

7Solve.

log7 (x2 - 5) = log7 (59)

x 8

8Solve.

log9(x + 3) = log92x

x = 3

9 Solve. Round to 4 decimal places.

3x = 72

x = 3.8928

10Solve. Round to 4 decimal places.

7x = 23.4

x = 1.6202

11Solve. Round to 4 decimal places.

53x = 37

x = 0.7479

12Write in logarithmic form.

82 = 64

log8 64 = 2

13Write in logarithmic form.

93 = 729

log9 729 = 3

14Solve for x.

log x = -2

10-2 = x0.01 = x

15Solve for x.

x = 1.122

logx 4 = 12

16Write in exponential form.

131

21973

log131

21973

17Write in exponential form.

log11 1331 = 3

113 = 1331

18Solve for x.

x = -1.38

42x = 5x - 1

19Solve for x.

42x - 5 · 4x - 14 = 0

x = 1.404

20Evaluate

log71

2401

-4

21Evaluate

log15 225

2

22Evaluate

log6 1296

4

23Expand

2(log3 27 + log3 x)

= 2log327 + 2log3x

log3 (27x)2

24Expand

logx

9log x – log 9

25Express as single logarithm

logxy

z

3

3

log log logx y z 31

3

26Express as single logarithm

log5 5a

1

225 5log log a

27Evaluate. Round to 4 decimal places.

log11 52

1.6478

28

log5 8.7

1.3441

Evaluate. Round to 4 decimal places.

29

log6 21.7

1.7175

Evaluate. Round to 4 decimal places.

30

log13 28.3

1.3033

Evaluate. Round to 4 decimal places.

31

log(x+3) = 1 – log(x)

X = 2

Solve

32

log(x+45) – log(x+5) = log x

X = 5

Solve

33

12.6 years

If you invest some money at a 5.5% rate compounded continuously, how long will it take to double?

34

$1735.98

You invest $1500 at a 4.9% interest rate compounded quarterly. How much will you have in 3 years?

35

A certain city has a population of 4000 people in 1990 and 4500 people in 2000. Find an exponential function to model this population. Then predict the population in

2015.y = 4000e.0118t

13018 people