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WorksheetsLogs & Exponentials
Total questions: 10
Worksheet time: 26mins
Name
Class
Date
1.
Rewrite as an exponential:
log(10,000)=4.
log(10,000)=4.
a)
e4=10,000
b)
410,000=10
c)
104=10,000
d)
04=10
2.
Solve for x:
log5(625)=x.
log5(625)=x.
a)
4
b)
2
c)
3
d)
10
3.
Solve for x:
ln(4)=x
ln(4)=x
a)
16
b)
10
c)
2.7183
d)
1.37
4.
Solve for x:
logx(64)=2.
logx(64)=2.
a)
10
b)
4
c)
8
d)
e
5.
Solve for x:
log4(64)=x.
log4(64)=x.
a)
16
b)
10
c)
3
d)
8
6.
The total amount earned from a savings account is modeled by the expression P(1.015)12t where P represents the principal compounded monthly and t is the time in years.
Which expression represents the approximate interest rate compounded quartertly?
Which expression represents the approximate interest rate compounded quartertly?
a)
P(1.20)t
b)
P(1.20)4t
c)
P(1.046)t
d)
P(1.046)4t
7.
Shelby dreams of starting her own cosmetology studio. An investor gives her $750,000 toward opening her own store. Rather than spend it immediately, Shelby wisely puts it away in a savings account to accrue (gather) interest. The account she chooses offers an annual interest rate of 12.75% compounded monthly.
How long will it be before Shelby has approximately $2,666,034 in her account?
How long will it be before Shelby has approximately $2,666,034 in her account?
a)
9 years
b)
10 years
c)
2 years
d)
1 year
8.
Scooter is saving money to build a race car while attending school. He receives a small investment of $500,000 from Junebug (Dale Earnhardt Jr) to finance this. Scooter puts this away in an account while he finishes school. The account he chooses yields 9.95% annual interest compounded continuously.
Approximately how much money will Scooter have in his account after 7 years?
Approximately how much money will Scooter have in his account after 7 years?
a)
$1,000,481.23
b)
$1,003,263.22
c)
$3,866,164.65
d)
$1,003,358.45
9.
Describe the transformations applied to the following function:
f(x)=2(.5x+5)2-1.
[Parent function: f(x)=x2.]
f(x)=2(.5x+5)2-1.
[Parent function: f(x)=x2.]
a)
Vertical STRETCH,
Horizontal STRETCH,
Horizontal shift 5 units LEFT,
Vertical shift 1 unit DOWN
Horizontal STRETCH,
Horizontal shift 5 units LEFT,
Vertical shift 1 unit DOWN
b)
Vertical COMPRESSION,
Horizontal COMPRESSION,
Horizontal shift 5 units LEFT,
Vertical shift 1 unit DOWN
Horizontal COMPRESSION,
Horizontal shift 5 units LEFT,
Vertical shift 1 unit DOWN
c)
Vertical COMPRESSION,
Horizontal STRETCH,
Horizontal shift 5 units RIGHT,
Vertical shift 1 unit DOWN
Horizontal STRETCH,
Horizontal shift 5 units RIGHT,
Vertical shift 1 unit DOWN
d)
Vertical STRETCH,
Horizontal COMPRESSION,
Horizontal shift 5 units RIGHT,
Vertical shift 1 unit UP
Horizontal COMPRESSION,
Horizontal shift 5 units RIGHT,
Vertical shift 1 unit UP
10.
Rewrite as an exponential:
log3(9)=2.
log3(9)=2.
a)
39=2
b)
32=9
c)
x2=9
d)
3x=2
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