7-3 Practice Logarithms And Logarithmic Functions Worksheet - Moc-Floyd Valley Community School District Page 3
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DATE
PERIOD
7-3
Word Problem Practice
Logarithms and Logarithmic Functions
CHEMISTRY
EARTHQUAKES
1.
The pH of a solution is
4.
The intensity of an
found by the formula pH = -log H,
earthquake can be measured on the
where H stands for the hydrogen ion
Richter scale using the formula
R - 1
concentration in the formula. What is
y = 10
, where y is the absolute
the pH of a solution to the nearest
intensity of the earthquake and R is its
hundredth when H is 1356?
Richter scale measurement.
– 3.13
Richter Scale Number
Absolute Intensity
1
1
2
10
3
100
4
1000
5
10,000
An earthquake in San Francisco in 1906
had an absolute intensity of 6,000,000.
What was that earthquake’s
measurement on the Richter scale?
FIND THE ERROR
2.
Michio wanted to
7.8
find the value of x in the equation
2(3)
x
= 34. He first converted the
equation to log
2x = 17. Next he wrote
3
2x = 3
17
and used a calculator to find
GAMES
5.
Julio and Natalia decided to
x = 64,570,081. Was his answer correct?
play a game in which they each selected
If not, what was his mistake and what is
a logarithmic function and compare
the right answer?
their functions to see which gave larger
No; he should have converted to
values. Julio selected the function
x = log
17; x = 2.58.
f (x) = 10 log
x and Natalia selected the
2
3
function 2 log
x.
10
a. Which of the functions has a larger
value when x = 7?
Julio’s; Julio’s is 28.07
and Natalia’s is 1.69.
b. Which of their functions has a larger
SOUND
3.
The decibel level L of a sound
value when x = 1?
is determined by the formula
Neither; both equal 0.
I
L = 10 log
−
. Find I in terms of M for
10
M
a noise with a decibel level of 120.
c. Do you think the base or the
I = 1,000,000,000,000 M or 10
12
M
multiplier is more important in
determining the value of a
logarithmic function?
Answers will vary.
23
Chapter 7
Glencoe Algebra 2
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