Algebra 2
Chapter 8 Study Guide
Determine if each equation represents exponential growth or decay.
1) y = 5x
2) y = 2(4)x
3) y = 0.2(3.8)x
4) y = 3(0.25)x
5) y = 10(.5)x
Write an exponential equation whose graph passes through the given points.
6) (1, 5), (2, 7)
7) (3, 1.5), (4, 15)
8) (-1, 6¾), (2, ¼)
9) (-2, 9), (0, 1)
Write an exponential function to model each situation. Find the final value after 5 years.
10) A $12,500 car depreciates 9% each year.
11) A baseball card vought for $50 increases 3% in value each
year.
Half-Life:
12) Radon has a half-life of 4 days. If you started with 250mg of Radon, how much is left after 21 days.
13) Iodine has a half-life of 8 days. If you started with 130g of Iodine, how much is left after 34 days.
14) Radium has a half-life of 1600 years. If you started with 1800 atoms of Radium, how much is
remaining after 4000 years
Find the amount in a continuously compounded account for the given condition.
15) Principal = $1,000
Rate = 4.8%
Time = 2 years
16) Principal = $250
Rate = 6.2%
Time = 2.5 years
17) Principal = $500
Rate = 6.2%
Time = 5 years
Algebra 2
Chapter 8 Study Guide
Evaluate each logarithm.
18) log2 64
19) log3 (1/9)
20) log (1/10000)
21) Logx 1
23) log2 5 – log2 3
24) 4log3 x + log3 7
25) log z – log y
27) log 4s4t
28) log3 (2/x)
29) log (x + 3)2
Write each Log as a single expression.
22) log 8 + log 3
Expand each logarithm.
26) log4 x2y3
Solve each exponential equation.
30) 4x = 27
31) 3x = 36
32) 7x - 3 = 25
33) 52x = 25
34) 6(2x + 5) + 4 = 11
35) 63x + 1 = 215
36) e3x = 12
37) 4e(x – 1) = 64
38) 4e2x – 3 = 2
39) 500e-x = 300
Solve each Equation.
40) log 4x = 3
41) 2log x = -4
44) log 3 (5x+13) – log 3 6 = log 3 3x
47) 3ln x – ln 2 = 4
42) 3log 4 6x = 9
45) ln 2 + ln x = 1
48) ln (2x – 1)2 = 7
49) 6 + 3ln x = 4
43) log 3 (5x – 1) = log 3 (x + 7)
46) ln (x + 1) – ln (x – 1) = 4
50) 2ln x + 3ln 2 = 5