Logarithm Practice

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

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Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Rewrite in exponential form.

• A

• B

• C

• D

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CCSS.HSF.BF.B.5

What is the base of log₃(x) = 9?

• x

• 3

• 9

• 3^x

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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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Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3

• 3^(x+2)=8

• 8³=x+2

• 3⁸=x+2

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Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6

• log₆(x+2)=216

• log₆(216)=x+2

• log_(x+2)(216)=6

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Rewrite each equation in logarithmic form.

• A

• B

• C

• D

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Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

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Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5