Page 1
1.
Find c.
10 6,309,573
c=
Round your answer to 2 decimal places.
2.
Evaluate
log(18)
10
exactly.
3.
Which of the following statements is equivalent to
log( )yx=
?
A)
10y
x=
B)
10x
y=
C)
10xy =
D)
log(10)x=
4.
Which of the following statements is equivalent to
10y
x=
?
A)
log( )yx=
B)
10x
y=
C)
10xy =
D)
log( )xy=
5.
Write 84 as a power of 10.
Round your answer to 2 decimal places.
6.
Solve.
10 0.28
x=
Round your answer to 3 decimal places.
7.
Solve.
2 +8
10 0.7
x=
Round your answer to 3 decimal places.
8.
Solve.
log( ) 5x=
Round your answer to 3 decimal places.
Page 2
9.
Solve.
log( – 3) –0.05x=
Round your answer to 3 decimal places.
10.
Rewrite in an equivalent form using logarithms:
108 = 100,000,000
11.
Use your calculator to evaluate to four decimal places.
106.5
12.
Evaluate:
log 0.00001
13.
Solve for x:
log x = –0.1
Round the answer to 4 decimal places.
14.
Solve for x:
log 127,387.73 = x
Round the answer to 4 decimal places.
15.
Solve for x:
104.9 = x
Round the answer to 4 decimal places.
16.
Solve for x:
10x = 318,455.59
Round the answer to 4 decimal places.
17.
Solve for x:
6
10 653,273.57
x=
Round the answer to 4 decimal places.
18.
Solve for x:
9
10 428,609.55
x−=
Round the answer to 4 decimal places.
Page 3
19.
Solve for x:
5 11
10 604,866.81
x+=
Round the answer to 4 decimal places.
20.
Solve for x:
( )
45
10 10,509.09
x +
=
Round the answer to 4 decimal places.
21.
Solve for x:
log (2x) = 6.9
Round the answer to 4 decimal places.
22.
Solve for x:
log (6x+6) = –2.7
Round the answer to 4 decimal places.
23.
The difference n the noise levels of two sounds is measured in decibels, where the
number of decibels =
2
1
10 log I
I
. Compare the noise levels when I1 = 10–12
watts/cm2 and I2 = 10–9 watts/cm2.
24.
The pH scale measures the hydrogen ion concentration in a liquid, which determines
whether the substance is acidic or alkaline. A strong acid solution has a hydrogen ion
concentration of 10-1 M and would have a pH of 1. A neutral substance has a hydrogen
ion concentration of 10-7 M and would have a pH of 7. An unknown liquid is tested
and is found to have a hydrogen ion concentration of 10–2. What is the pH?
Page 4
Answer Key