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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Exponential and Logarithmic Functions
Logarithmic Functions and Their Applications
Warm-Ups
1
The equation a
3
= 2 is equivalent to log
a
(2) = 3.
A)
TRUE
B)
FALSE
2
If (a, b) satisfies y = 8
x
, then (a, b) satisfies y = log
8
(x).
A)
TRUE
B)
FALSE
3
If f (x) = a
x
for a > 0 and a ≠ 1, then f
-1
(x) = log
a
(x).
A)
TRUE
B)
FALSE
4
If f (x) = ln(x), then f
-1
(x) = e
x
.
A)
TRUE
B)
FALSE
5
The domain of f (x) = log
6
(x) is (-∞, ∞).
A)
TRUE
B)
FALSE
6
log
25
(5) = 2
A)
TRUE
B)
FALSE
7
log(-10) = 1
A)
TRUE
B)
FALSE
8
log(0) = 0
A)
TRUE
B)
FALSE
9
5
log
5
(125)
= 125
A)
TRUE
B)
FALSE
10
log
1/2
(32) = -5
A)
TRUE
B)
FALSE
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