AnswersCR - Algebra 2 26-27 - S2Solving Logarithmic Equations using Technology

Solving Logarithmic Equations using Technology Answers

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1
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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.
2
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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
3

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
4

Which is equivalent to ?

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Option
Option A
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Option
Option B
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Option
Option C
D
Option
Option D
5

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
6

Tenisha solved the equation below by graphing a system of equations.Which point approximates the solution for Tenisha’s system of equations?

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A
(0.9, 0.8)
B
(1.0, 1.4)
C
(2.3, 1.1)
D
(2.7, 13.3)
7

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

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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
8

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

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–3.396
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–0.708
0
0.304
0
0.955
9

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

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–1.613
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–1.522
0
0.585
3
3.079
10

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

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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

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