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Unformatted text preview: Solutions to Quiz 18A
www.math.uﬂ.edu/˜harringt
December 3, 2007
1. Using the function, f (x) = log 1 (x), answer the following questions.
3 (a) ”f (0) = 1.” This statement is FALSE. The correct statement
should read f (1) = 0, since we have:
1
3 0 = 1 ⇐⇒ log 1 (1) = 0
3 (b) ”The domain of f is (0, ∞).” This statement is TRUE.
(c) ”The function f is decreasing.” This statement is TRUE.
(d) ”The function f has a horizontal asymptote y = 0.” This statement is FALSE. The correct statement should read: ”The function f has a vertical asymptote at x = 0.”
2. Write the following as a logarithm:
(a)
35 = 243 ⇐⇒ log3 (243) = 5
(b)
4−3 = 1
1
⇐⇒ log4
= −3
64
64 3. Solve for x.
(a)
1
3
1
83 = x
2=x log8 (x) = 1 (b)
1 2x+1
2
(2)−2x−1
−2x − 1
−2x =4 = 22
=2
=3
−3
x=
2 2 ...
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This note was uploaded on 07/12/2011 for the course MAC 1140 taught by Professor Williamson during the Fall '08 term at University of Florida.
 Fall '08
 WILLIAMSON
 Math, Calculus, Algebra

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