Logarithms And Logarithmic Functions Worksheet With Answers Page 14
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27ANSWER:
a . 85
b . 73
7-3 Logarithms and Logarithmic Functions
As
, he is allowing less light into the camera.
c. 61
ANSWER:
Graph each function.
51. f (x) = 4 log
(2x − 4) + 6
a . 2
2
b.
SOLUTION:
The function represents a transformation of the
graph of
.
a = 4: The graph expands vertically.
h = 4: The graph is translated 4 units to the right.
k = 6: The graph is translated 6 units up.
c .
; less light
50. EDUCATION To measure a student’s retention of
knowledge, the student is tested after a given amount
of time. A student’s score on an Algebra 2 test t
months after the school year is over can be
approximated by y(t) = 85 − 6 log
(t + 1), where y(t)
2
is the student’s score as a percent.
a. What was the student’s score at the time the
school year ended (t = 0)?
ANSWER:
b. What was the student’s score after 3 months?
c. What was the student’s score after 15 months?
SOLUTION:
a.
Substitute 0 for t in the function and simplify.
b.
52. f (x) = −3 log
(4x + 3) + 2
Substitute 2 for t in the function and simplify.
12
SOLUTION:
The function represents a transformation of the
graph of
.
c.
Substitute 15 for t in the function and simplify.
a = –3: The graph is reflected across the x-axis.
h = –3: The graph is translated 3 units to the left.
k = 2: The graph is translated 2 units up.
ANSWER:
a . 85
b . 73
c. 61
Graph each function.
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Page 14
51. f (x) = 4 log
(2x − 4) + 6
2
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