AnswersCommon Core Algebra II A-ICSimplifying Rational Expressions

Solving Logarithmic Equations using Technology Answers

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1
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Which expression results when the change of base formula is applied to ?

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

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–3.396
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–0.708
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0.304
0
0.955
3

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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Omar wants to use a graph to solve the equation below.Which system of equations should Omar use?

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5

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

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Log StartFraction 8 Over 25 EndFraction
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StartFraction log 8 Over log 25 EndFraction
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log StartFraction 25 Over 8 EndFraction
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StartFraction log 25 Over log 8 EndFraction
Option D
6

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

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–1.613
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–1.522
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0.585
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3.079
7

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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8

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

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The curves do not intersect.
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The curves intersect at one point.
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The curves intersect at two points.
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The curves appear to coincide.
9

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

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y 1 = 3 x, y 2 = 2 x
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y 1 = log (2 x + 1), y 2 = 3 x minus 2
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y 1 = log 2 x + 1, y 2 = 3 x minus 2
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y 1 = log (2 x + 1 + 2), y 2 = 3 x
Option D
10

Which is equivalent to ?

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