CCSS.Math.Content.HSF.LE.A.4

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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CCSS.Math.Content.HSF.LE.A.4

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

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CCSS.Math.Content.HSF.LE.A.4

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

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CCSS.Math.Content.HSF.LE.A.4

Condense into a single logarithm.

• A
• B
• C
• D

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CCSS.Math.Content.HSF.LE.A.4

Solve the equation.

• A
• B
• C
• D

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CCSS.Math.Content.HSF.LE.A.4

Expand

• A
• B
• C
• D

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CCSS.Math.Content.HSF.LE.A.4

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

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CCSS.Math.Content.HSF.LE.A.4

Rewrite the exponential equation into its logarithmic equation; x⁶=64

• log₆x=64
• log6=64
• log₆64=x
• log_x64=6

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CCSS.Math.Content.HSF.LE.A.4

How long will it take $3000 to double if it is invested in an account that pays 3% compounded continuously?

• 23.1 years

• 22.1 years

• 21.1 years

• 20.1 years

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CCSS.Math.Content.HSF.LE.A.4

Solve the equation. Round your answer to the nearest ten-thousandth.  $8^a=12$  

• 2.1681

• 2.4849

• 1.0792

• 1.195

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CCSS.Math.Content.HSF.LE.A.4