Algebra 2 Chapter 10 Review
Name: _______________________
1. Graph. State the domain and range. Determine if it is a growth or decay. y = 2(3)x
Domain: __________
2. Solve.
a) 65x - 2 = 64x
Range: ___________ Growth or Decay _____________
b) 34x -2 = 27x
c) 34x-3 = 272x – 4
d) log2 x = 4
e) log2 2x + log2 3 = log2 12
f) log2 (2x + 6) – log2 x = 3
g) 4x – 2 = 89
j) 4ex + 2 = 6
h) ln 3x = 5
3. Write in logarithmic form.
35 = 243
4. Write in exponential form.
log5 625 = 4
5. Evaluate.
a) log4 43 =
b) log5 125 =
c) log 3.2 =
d) log2 7 =
e) ln 2.13 =
f) ln e4 =
6. Use log5 3 = 0.6826 and log5 4 = 0.8614 to evaluate each of the following.
a) log5 16
b) log5 16
27
c) log5 36
7. How many hours will it take a culture of bacteria to increase from 2000 to 50,000 if
the growth rate per hour is 93.2%.
8. Alex invests $2000 in an account that has a 6% annual rate of growth. To the nearest
year, when will the investment be worth $3600?
9. Find all the zeros.
x3 + 4x2 –x – 4 = 0
10. Find the distance and the midpoint between A and B. A(-5, -6) and B(1, -3)
Distance _________________ Midpoint__________________
11. Graph. Find the vertex, axis of symmetry, focus, and directrix of the parabola.
Y = 3(x + 4)2 – 2
Vertex _________ Axis of symmetry _______Focus ________Directrix _________
12. Solve. x + 3
x–1
= 4
_ 3
x–1
5