AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Solving Logarithmic Equations using Technology Answers

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Which system of equations could be graphed to solve the equation below?

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A
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
Option A
B
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
Option B
C
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
Option C
D
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Option D
2
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Omar wants to use a graph to solve the equation below.Which system of equations should Omar use?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

What is the approximate value of q in the equation below?

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–
–1.613
–
–1.522
0
0.585
3
3.079
4

A student solved the equation below by graphing.Which statement about the graph is true?

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T
The curves do not intersect.
T
The curves intersect at one point.
T
The curves intersect at two points.
T
The curves appear to coincide.
5

Which system of equations could be graphed to solve the equation below?

Question illustration
A
y 1 = 3 x, y 2 = 2 x
Option A
B
y 1 = log (2 x + 1), y 2 = 3 x minus 2
Option B
C
y 1 = log 2 x + 1, y 2 = 3 x minus 2
Option C
D
y 1 = log (2 x + 1 + 2), y 2 = 3 x
Option D
6

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a 1 and b 1?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Kim solved the equation below by graphing a system of equations.What is the approximate solution to the equation?

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A
0.6
B
0.9
C
1.4
D
1.6
8

Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. Which expression could be Tyler’s original expression?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

What is the approximate value of x in the equation below?

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A
–2.523
B
–1.317
C
2.880
D
7.485
10

Consider the equation below.Which system of equations can represent the equation?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which expression results when the change of base formula is applied to ?

Question illustration
A
StartFraction log (x + 2) Over log 4 EndFraction
Option A
B
StartFraction log 4 Over log (x + 2) EndFraction
Option B
C
StartFraction log 4 Over log x + 2 EndFraction
Option C
D
StartFraction log x + 2 Over log 4 EndFraction
Option D
12

What is the approximate value of x in the equation below.

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A
–3.396
B
–0.708
C
0.304
D
0.955
13

Which is equivalent to ?

Question illustration
A
log n = StartFraction log 2 Over 4 EndFraction
Option A
B
n = StartFraction log 2 Over log 4 EndFraction
Option B
C
n = log 4 times log 2
Option C
D
log n = 4 log 2
Option D
14

Devonte used the change of base formula to approximate . Which expression did Devonte use?

Question illustration
A
Log StartFraction 8 Over 25 EndFraction
Option A
B
StartFraction log 8 Over log 25 EndFraction
Option B
C
log StartFraction 25 Over 8 EndFraction
Option C
D
StartFraction log 25 Over log 8 EndFraction
Option D

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