Log & Exponential REVIEW

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

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Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

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Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

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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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To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

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Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

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Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

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Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

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Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

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