Logarithms And Logarithmic Functions Worksheet With Answers Page 3
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277-3 Logarithms and Logarithmic Functions
D = {x | x > 0); R = {all real numbers}
D = {x | x >6}; R = {all real numbers}
10. f (x) = 4 log
(x − 6)
11.
4
SOLUTION:
SOLUTION:
The function represents a transformation of the
The function represents a transformation of the
graph of f (x) = log
x.
4
graph of
.
a = 4: The graph expands vertically.
a = 2: The graph expands vertically.
h = 6: The graph is translated 6 units to the right.
h = 0: There is no horizontal shift.
k = 0: There is no vertical shift.
k = –5: The graph is translated 5 units down.
The domain consists of all positive real numbers
The domain consists of all positive real numbers, and
greater than 6, and the domain consists of all real
the domain consists of all real numbers.
numbers.
ANSWER:
ANSWER:
D = {x | x > 0}; R = {all real numbers}
D = {x | x >6}; R = {all real numbers}
12. SCIENCE Use the information at the beginning of
11.
the lesson. The Palermo scale value of any object
can be found using the equation PS = log
R, where
10
SOLUTION:
R is the relative risk posed by the object. Write an
The function represents a transformation of the
equation in exponential form for the inverse of the
graph of
.
function.
SOLUTION:
a = 2: The graph expands vertically.
Rewrite the equation in exponential form.
h = 0: There is no horizontal shift.
k = –5: The graph is translated 5 units down.
Interchange the variables.
R
PS = 10
ANSWER:
R
PS = 10
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Page 3
Write each equation in exponential form.
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