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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Exponential and Logarithmic Functions
Solving Equations and Applications
Warm-Ups
1
If log(x - 2) + log(x + 2) = 7, then log(x
2
- 4) = 7.
A)
TRUE
B)
FALSE
2
If log(3x + 7) = log(5x - 8), then 3x + 7 = 5x - 8.
A)
TRUE
B)
FALSE
3
If e
x-6
= e
x
2
-5x
, then x - 6 = x
2
- 5x.
A)
TRUE
B)
FALSE
4
If 2
3x-1
= 3
5x-4
, then 3x - 1 = 5x - 4.
A)
TRUE
B)
FALSE
5
If log
2
(x
2
- 3x + 5) = 3, then x
2
- 3x + 5 = 8.
A)
TRUE
B)
FALSE
6
If 2
2x-1
= 3, then 2x - 1 = log
2
(3).
A)
TRUE
B)
FALSE
7
If 5
x
= 23, then x · ln(5) = ln(23).
A)
TRUE
B)
FALSE
8
log
3
(5) = ln(3)/ln(5)
A)
TRUE
B)
FALSE
9
ln(2)/ln(6) = log(2)/log(6)
A)
TRUE
B)
FALSE
10
log(10) = ln(5)
A)
TRUE
B)
FALSE
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