Logarithm Expansion

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

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CCSS.HSF.BF.B.5

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

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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

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1

• 5

• 4

• 1

log₂800 - log₂100

• 8

• 3

• -3

• 1

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0

• log₆5

• log₆1

• 1

What would the change base look like for:
  log₆ 48

• log 8

• ^{log 6}/_{log 48}

• ^{log 48}/_{log 6}

• ln 8

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1

• 0

• 5

• -1

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Tags

CCSS.HSF.BF.B.5