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WorksheetsLog, ln, and e
Total questions: 20
Worksheet time: 37mins
Name
Class
Date
1.
Logarithms are represented by log and its equation is written as
a)
y = log x
b)
y = logxb
c)
y = logbx
d)
y = log b
2.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
3.
Simplify the following logarithmic function:
log216=
log216=
a)
2
b)
16
c)
8
d)
4
4.
Write the following equation in logarithmic form:
23 = 8
23 = 8
a)
log28 = 3
b)
log23 = 8
c)
log32 = 8
d)
log38 = 2
5.
Write the following equation in logarithmic form:
e3 ≈ 20.09
e3 ≈ 20.09
a)
ln3 ≈ 20.09
b)
ln20.09 ≈ 3
c)
lne ≈ 3
d)
ln20.09 ≈ e
6.
Write the following equation in exponential form:
log2⅛ = -3
log2⅛ = -3
a)
2⅛ = -3
b)
(⅛)-3 = 2
c)
2-3 = ⅛
d)
(-3)⅛ = 2
7.
Evaluate the following logarithm by converting to exponential form.
log⅕125 = x
log⅕125 = x
a)
x = 3
b)
x = -3
c)
x = 25
d)
x = 5
8.
Evaluate the following logarithm by converting to exponential form.
log93 = x
log93 = x
a)
x = 2
b)
x = ½
c)
x = -2
d)
x = -½
9.
a)
12
b)
3
c)
5
d)
10
10.
Pick the equation that matches the graph
a)
A
b)
B
c)
C
d)
D
11.
Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will your total return be?
a)
$5,304.46
b)
$5,611.86
c)
$5,613.28
d)
$8,819.73
12.
Solve for x:
4x- 5 = 12
4x- 5 = 12
a)
0.489
b)
2.552
c)
0.893
d)
2.044
13.
Solve for x:
ex=7
ex=7
a)
x=ln7
b)
x=ln7
c)
x=7ln
d)
No solution
14.
A petri dish contains 20 bacteria. Find the number of bacteria in the petri dish after 8 hours if the bacteria is tripling every hour.
a)
131,220 bacteria
b)
10,240 bacteria
c)
5.6 x 1015 bacteria
d)
860,934,420 bacteria
15.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
16.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
17.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
18.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
19.
Is this exponential growth or decay?
a)
Growth
b)
Decay
20.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
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