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
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