Trash-ket Ball

Chapter 7

Exponents and Logarithms

Trash-ket ball

1

2

3478

6

5

10

1211

9

1615

14

13

2019

18

17

23

22

21

2427

26

25

28

30

29

31

32

3334

35

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

2log 800

7x

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.

3x = 72

3log 72x

9 Use your calculator to find decimal for last answer.

3log 72x

10Solve.

72x +2= 21

7log 19

2x

11Solve.

3(53x )= 36

5log 12

3x

12Write in logarithmic form.

82 = 64

log8 64 = 2

13Simplify the following

144 x

x

e

e

3

1xe

14Solve.

50

4 log 2 6x

15Solve.

10, -10

22log 4x

16Write in exponential form.

131

21973

log131

21973

17Write in exponential form.

log11 1331 = 3

113 = 1331

18Write in exponential form.

log5 625 = 4

54 = 625

19Write in exponential form.

81

642

log81

642

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

25Condense

logxy

z

3

3

log log logx y z 31

3

26Condense

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(3x+1)=2

33

Solve.

32

log13 (x-1)=1

14

solve.

33

ln (2x+3)=81488.97

Solve.

34

log4 x+ log4 x+6=2

Evaluate. Round to 4 decimal places.

2

35Evaluate. Round to 4 decimal places.

1/2

3 3log 4 log ( 4) 2x x