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7-6 QUIZ - Common Logarithms

Total questions: 20

Worksheet time: 4hrs 48mins

Name
Class
Date
1.
Using the change of base rule, what is this logarithm equivalent to?
a)
A
b)
B
c)
C
d)
D
2.

Use the change of base rule to rewrite this problem:

log575

a)

log(75)/log(5)

b)

log(5)/log(75)

3.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
4.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
5.
The natural logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
6.
The natural logarithm is represented as what?
a)
log
b)
ln
7.

Solve: 2x = 25

Round to the nearest hundredth.

a)

x = 4.64

b)

x = 4.65

c)

x = 1.40

d)

x = 1.10

8.

Solve: 9x-8 = 70

Round to the nearest hundredth.

a)

x = 9.93

b)

x = 1.93

c)

x = 1.85

d)

x = 9.85

9.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
10.

Solve: 98-x = 27x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)

+/- 1.1691

b)

+/- 1.8965

c)

+/- 1.9901

d)

+/1 1.2315

14.

The base of common log is 10. So log 100 = ?

a)

1

b)

2

c)

10

d)

50

15.

log 1000

a)

1

b)

2

c)

3

d)

4

16.

log 0.1 =

a)

-2

b)

-1

c)

1

d)

2

17.

log 1 =

a)

-2

b)

-1

c)

0

d)

1

18.

Use a calculator to evaluate log 25

a)

1.397

b)

1.598

c)

-1.397

d)

.80

19.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
20.

A household appliance loses its value after it is purchased. Its current value, V(t), can be modeled by the function, V(t)= V0(3/4)t, where V0 is the original price, and t is the number of years. How long will it take for a refrigerator initial cost $850 to be worth $65? Round to the nearest year.

a)

9 years

b)

13 years

c)

8 years

d)

10 years