AnswersCR - Algebra 2 26-27 - S2Solving Equations using Properties of Logarithms

Solving Equations using Properties of Logarithms Answers

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1
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Which of the following illustrates the product rule for logarithmic equations?

A
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 divided by log Subscript 2 Baseline x
Option A
B
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 times log Subscript 2 Baseline x
Option B
C
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 minus log Subscript 2 Baseline x
Option C
D
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 + log Subscript 2 Baseline x
Option D
2
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What is the solution to

Question illustration
A
x = negative 8
Option A
B
x = negative 3
Option B
C
x = 3
Option C
D
x = 8
Option D
6

What is the solution to

Question illustration
A
x = negative 8
Option A
B
x = negative 4
Option B
C
x = 4
Option C
D
x = 8
Option D
7

Which statement is true for

Question illustration
A
x + 1 = 3 squared
Option A
B
x + 1 = 2 cubed
Option B
C
2 (x + 1) = 3
Option C
D
3 (x + 1) = 2
Option D
8

Which of the following is true regarding the solutions to the logarithmic equation below?

Question illustration
A
and are true solutions
Option A
B
and are extraneous solutions
Option B
C
is a true solution and is an extraneous solution
Option C
D
is an extraneous solution and is a true solution
Option D
9

Maria wrote the equation What is the solution to Maria’s equation?

Question illustration
A
x = three-tenths
Option A
B
x = four-fifths
Option B
C
x = five-fourths
Option C
D
x = ten-thirds
Option D
10

What is the solution to

Question illustration
A
x = six-nineteenths
Option A
B
x = eight-nineteenths
Option B
C
x = 7
Option C
D
x = 8
Option D

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