Basic Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

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CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

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CCSS.HSF.BF.B.5

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

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CCSS.HSF.BF.B.5

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

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CCSS.HSF.BF.B.5

Rewrite as a log: x = 11^y

• log₁₁(y) = x

• log_y(11) = x

• log₁₁(x) = y

• log_x(y) = 11

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CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

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CCSS.HSF.BF.B.5

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

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CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

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CCSS.HSF.BF.B.5