Exponential and Logarithmic Applications

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3

• log₂3 = 8

• log₃2 = 8

• log₃8 = 2

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CCSS.HSF.BF.B.5

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1

• x = 1

• x = 3

• x = ⅓

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CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

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CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

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CCSS.HSF.BF.B.5

Which of the following is an exponential function?

• Product Rule

• Quotient Rule

• Power Rule

• Change of Base Rule

Scott purchased a painting in 2006 for $1250. Since then, its value has increased by 6% each year. Find the value of the painting in 2017. Which exponential function correctly models this problem?

• y = 1250(1 + .06)¹¹

• y = 1250(1 - .06)¹¹

• y = 1250(.06)¹¹

• y = 2017(.06)¹¹

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CCSS.HSF.LE.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

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CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

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CCSS.HSF-LE.A.1C

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29

• $2,900,000,000

• $46,704.79

• $145,000

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CCSS.HSF-LE.A.1C