Converting Exponential and Logarithmic

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

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CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

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CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

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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

Rewrite in exponential form.

• A

• B

• C

• D

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CCSS.HSF.BF.B.5

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

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CCSS.HSF.BF.B.5

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

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CCSS.HSF.BF.B.5

Evaluate log₅25 = x

• 2

• 5

• 125

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

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CCSS.HSF.BF.B.5

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

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CCSS.HSF.BF.B.5