Exponential and Logarithmic Functions as Inverses

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

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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

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

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CCSS.HSF.BF.B.5

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32

• 2³² = 5

• 5² = 32

• 32² = 5

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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

log₂2⁸ =

• 8

• 2

• 1

• 16

log₂16=

• 2

• 16

• 8

• 4

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CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243

• log₂₄₃3 = 5

• log₅243 = 3

• log₃243 = 5 

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CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3

• log₂3 = 8

• log₃2 = 8

• log₃8 = 2

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CCSS.HSF.BF.B.5

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1

• x = 1

• x = 3

• x = ⅓

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CCSS.HSF.BF.B.5