Exponent Form to Log Form

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

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CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

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CCSS.HSF.BF.B.5

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

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CCSS.HSF.BF.B.5

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

• log₆x=64

• log6=64

• log₆64=x

• log_x64=6

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

The exponent to which a base must be raised to obtain a given value.

• Power

• Subscript

• Logarithm

• Asymptote

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CCSS.HSF.BF.B.5

Logarithmic form is the inverse of exponential form.

• True

• False

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CCSS.HSF.BF.B.5

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 Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

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CCSS.HSF.BF.B.5

Convert 4^x = 64 to a Log

• Log₆₄(x) = 4

• Log_x(64) = 4

• Log₄(64) = x

• Log₄(x) = 64

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CCSS.HSF.BF.B.5