WorksheetsUnit 9
Total questions: 40
Worksheet time: 2hrs 33mins
Name
Class
Date
1.
a)
ln 8
b)
2
c)
4
d)
8
2.
Solve the following equation. Round your answer to two decimal places;
5 ln(x) = 7
5 ln(x) = 7
a)
x = 4.06
b)
x = 2.04
c)
No solution
d)
None of the above
3.
Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12
4 - 3 ln(2x + 10) = 12
a)
x = 2.20
b)
x = 1.68
c)
x = -5.00
d)
x = -4.97
4.
Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3
ln3x + ln2x = 3
a)
x = 12.91
b)
x = 4.02
c)
x = 3.35
d)
x = 1.83
5.
Which of the following is the value of x given;
e^(x + 6) = 12
e^(x + 6) = 12
a)
x = ln 6
b)
x = -6 + ln12
c)
x = ln72
d)
x = ln(-2)
6.
To two decimal places, find the value of x given;
e^(x + 6) - 5 = 1
e^(x + 6) - 5 = 1
a)
There is no solution for x
b)
x = 408.43
c)
x = -4.21
d)
x = 248.72
7.
Solve for x:
logxe=1
logxe=1
a)
1
b)
e
c)
0
d)
No solution
8.
Which of these matches this?:
logbx=y
logbx=y
a)
by=x
b)
yb=x
c)
xy=b
d)
xb=y
9.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
10.
What is the value of ln(e)
a)
1
b)
e
c)
2.718...
d)
Does not exist
11.
The natural logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
12.
Which have a domain of all real numbers?
a)
exponential
b)
logarithm
c)
both
13.
Which have a range of all real numbers?
a)
exponential
b)
logarithm
c)
both
14.
Which has the point (1,0) in the parent function?
a)
exponential
b)
logarithm
c)
both
15.
Which has the point (0,1) in the parent function?
a)
exponential
b)
logarithm
c)
both
16.
How are exponentials and logarithms related?
a)
They're cousins
b)
They're inverses
c)
They're not related
d)
They're reciprocals
17.
Find the inverse of y= 2x-1+3
a)
y = log2(x-3) + 1
b)
y = (x-3)/2 + 1
c)
y = log(x-3) + 1
d)
y = log2(x-1) + 3
18.
Find the inverse of y = 4log5(x+7)
a)
y = (5x+7)/4
b)
y = 5x - 7
c)
y = 4*5x - 7
d)
y = 5x/4 - 7
19.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
20.
Change to Logarithmic Form:
122 = 144
122 = 144
a)
log 2 144 = 12
b)
log 12 144 = 2
c)
log 12 2 = 144
d)
log 2 12 = 144
21.
Simplify
a)
4e3x
b)
8e3x
c)
8e9x
d)
4e3
22.
a)
e7
b)
e10
c)
5e7
d)
5e10
23.
Simplify
a)
5e11
b)
6e11
c)
5e30
d)
6e30
24.
Simplify
a)
2e-4x
b)
-2e-4x
c)
2e4x
d)
-2e4x
25.
Is this exponential growth or decay?
a)
Growth
b)
Decay
26.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
27.
a)
A
b)
B
c)
C
d)
D
28.
Expand
a)
A
b)
B
c)
C
d)
D
29.
Expand
a)
A
b)
B
c)
C
d)
D
30.
What kind of asymptotes do logs have?
a)
horizontal ( y=0)
b)
vertical (x=0)
31.
find the asymptote: y = log10 (x+3)
a)
x=-3
b)
x=3
c)
y=-3
d)
y=3
32.
In the general log function
y = a*logb(x-h)+k, what letter tells us the base of the log?
y = a*logb(x-h)+k, what letter tells us the base of the log?
a)
a
b)
b
c)
h
d)
k
33.
what transformation? y = log(x+3)
a)
left 3
b)
right 3
c)
up 3
d)
down 3
34.
what transformation? y = log x - 6
a)
left 6
b)
right 6
c)
up 6
d)
down 6
35.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
36.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
37.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
38.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
39.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
40.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
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