Answers NY-Algebra II Term 2 HillcrestGraphing Logarithmic Functions

Solving Logarithmic Equations using Technology Answers

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

y 1 = 3 x, y 2 = 2 x

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

y 1 = log 2 x + 1, y 2 = 3 x minus 2

y 1 = log (2 x + 1 + 2), y 2 = 3 x

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

y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction

y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

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

–3.396

–0.708

0.304

0.955

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

–1.613

–1.522

0.585

3.079

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 teacher used the change of base formula to determine whether the equation below is correct.Which statement explains whether the equation is correct?

The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3

The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3

The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0.4. = negative 0.08

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?