Exponents Logs

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

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CCSS.HSF.BF.B.5

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

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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

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

log₁₃169=2

• 2¹³ = 169

• 13² = 169

• 169² = 13

• 13¹⁶⁹ = 2

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CCSS.HSF.BF.B.5

log_n117 = 11

• n¹¹ = 117

• 11ⁿ = 117

• 117ⁿ = 11

• n¹¹⁷ = 11

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CCSS.HSF.BF.B.5

14² = 196

• log₁₄ 196 = 2

• log₂ 14 = 196

• log₂ 196 = 14

• log₁₄ 14 = 2

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CCSS.HSF.BF.B.5

n^m = 156

• log_n 156 = m

• log_n m = 156

• log_m 156 = n

• log_n 16 = n

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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