WorksheetsExponents and Logarithms
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Rewrite the exponential equation into its logarithmic equation; x6=64
a)
log6x=64
b)
log6=64
c)
log664=x
d)
logx64=6
2.
Write in logarithmic form.
2-4 = 1/16
2-4 = 1/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
3.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
4.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
5.
Evaluate: log93
a)
½
b)
-½
c)
2
d)
-2
6.
log8(4x+4)=2
a)
15
b)
12
c)
10
d)
3
7.
log4(3x-1)=log4(2x+3)
a)
4
b)
3
c)
1
d)
8
8.
ln e5=
a)
e5
b)
ln 5
c)
5
d)
5e
9.
Solve for x:
23x + 1 = 32
23x + 1 = 32
a)
0
b)
-1
c)
5/3
d)
4/3
10.
If you invest $1000 into an account with an annual interest rate of 6%. How long will it take for your investment to double if the interest is compounded yearly?
a)
18 years
b)
16 years
c)
12 years
d)
8 years
11.
log7(3x) = 3
a)
729
b)
114.333
c)
0.143
d)
23.34
12.
Which of the following models would project the value of a company worth $400,000 whose value is continuously decreasing by 8% annually?
a)
y=400,000e.08t
b)
y=400,000e-.08t
c)
y=400,000e-8t
d)
y=400,000e8t
13.
Evaluate the following logarithm:
log42
a)
-1/2
b)
-2
c)
2
d)
1/2
14.
Evaluate the log by thinking " 3 to what power is 1/9" so
log3(1/9) =
a)
1/2
b)
2
c)
-2
d)
3
15.
Evaluate.
log6(1/216)
log6(1/216)
a)
3
b)
1/3
c)
-1/3
d)
-3
16.
What is the value of eln(5)
a)
e
b)
1
c)
5
d)
Does not exist
17.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?
a)
$4915.59
b)
$3933.28
c)
$2979.81
d)
$4005.09
18.
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
19.
The natural logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
20.
solve for x
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
100 %
