Logarithm and Exponential Form

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

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CCSS.HSF.BF.B.5

log (x) = ¼

• x^1/4 = 1

• 1^x =¼

• 10^1/4 = x

• 10^x = ¼

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CCSS.HSF.BF.B.5

Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

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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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

What is the value of e^ln(5)

• e

• 1

• 5

• Does not exist

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CCSS.HSF.BF.B.5

ln(x)=3

• e^x

• 3e

• 3^e

• e³

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CCSS.HSF.BF.B.5

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

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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

log₅25 = ?

• 2

• 5

• 125

• 10