Answers 00TX-Algebra II B-CRSolving Logarithmic Equations using Technology

Properties of Logarithms Answers

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

0.6

0.9

1.4

1.6

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

y 1 = StartFraction log 6 Over x EndFraction , y 2 = StartFraction log 2 Over x + 4 EndFraction

y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log x + 4 Over log 2 EndFraction

y 1 = StartFraction log 6 Over log 2 EndFraction, y 2 = StartFraction log x Over log (x + 4) EndFraction

y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log (x + 4) Over log 2 EndFraction

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

–2.523

–1.317

2.880

7.485

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?

Log Subscript one-fourth Baseline 12

Log Subscript 12 Baseline One-fourth

12 Log one-fourth

One-fourth log 12

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

Log StartFraction 8 Over 25 EndFraction

StartFraction log 8 Over log 25 EndFraction

log StartFraction 25 Over 8 EndFraction

StartFraction log 25 Over log 8 EndFraction

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

StartFraction log (x + 2) Over log 4 EndFraction

StartFraction log 4 Over log (x + 2) EndFraction

StartFraction log 4 Over log x + 2 EndFraction

StartFraction log x + 2 Over log 4 EndFraction

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

The curves do not intersect.

The curves intersect at one point.

The curves intersect at two points.

The curves appear to coincide.

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

StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction

StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction

StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction

StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction

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

–1.613

–1.522

0.585

3.079

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

–3.396

–0.708

0.304

0.955

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Properties of Logarithms Answers

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