Introduction to Logarithmic Function

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

Solve for x
log₈(x) = 2

• x = 256

• x = 64

• x = 16

• x = 32

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CCSS.HSF.BF.B.5

Rewrite in exponential form.

• A

• B

• C

• D

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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

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

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CCSS.HSF.BF.B.5

Write in exponential form.

log₂64 = 6

• 2^-6 = 64

• 2⁶⁴ = 6

• 2⁶ = 64

• 64⁶ = 2

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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

Change to Exponential Form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

Evaluate:

log₄16

• 2

• 4

• 1/2

• -2

Write the following equation in logarithmic form:
(⅓)^-2 = 9

• log_⅓(-2) = 9

• log₉(-2) = ⅓

• log_⅓9 = -2

• log₉⅓ = -2

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CCSS.HSF.BF.B.5