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Trashketball Review

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Trashketball Review

Chapter 3

Exponents and Logarithms

1

26

6

21

11

16

31

27

22

2

32

17

12

7

28

23

13

18

8

33

3

29

24

19

14

34

9

4

30

25

15

20

35

5

10

Solve.

52x = 59x + 7

x = -1

Solve.

x = -2, 5

Solve.

x = 1 6

Solve.

27x = 800

x = 1.378

Solve.

logx 512 = 3

x = 8

Solve.

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

Solve.

log7 (x2 - 5) = log7 (59)

Solve.

log9(x + 3) = log92x

x = 3

Solve. Round to 4 decimal places.

3x = 72

x = 3.8928

Solve. Round to 4 decimal places.

7x = 23.4

x = 1.6202

Solve. Round to 4 decimal places.

53x = 37

x = 0.7479

Write in logarithmic form.

82 = 64

log8 64 = 2

Write in logarithmic form.

93 = 729

log9 729 = 3

Solve for x.

log x = -2

10-2 = x

0.01 = x

Solve for x.

logx 4 = 12

x = 1.122

Write in exponential form.

Write in exponential form.

log11 1331 = 3

113 = 1331

Solve for x.

42x = 5x - 1

x = -1.38

Solve for x.

42x - 5 · 4x - 14 = 0

x = 1.404

Evaluate

-4

Evaluate

2

Evaluate

4

Expand

log3 (27x)2

2(log3 27 + log3 x)

= 2log327 + 2log3x

Expand

log x – log 9

Express as single logarithm

Express as single logarithm

Evaluate. Round to 4 decimal places.

log11 52

1.6478

Evaluate. Round to 4 decimal places.

log5 8.7

1.3441

Evaluate. Round to 4 decimal places.

log6 21.7

1.7175

Evaluate. Round to 4 decimal places.

log13 28.3

1.3033

Solve

log(x+3) = 1 – log(x)

X = 2

Solve

log(x+45) – log(x+5) = log x

X = 5

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

12.6 years

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

$1735.98

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