Convert Between Exponential and Logarithmic Form

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

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

Rewrite in exponential form.

• A

• B

• C

• D

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CCSS.HSF.BF.B.5

Convert to logarithmic form: 2^9=512

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

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CCSS.HSF.BF.B.5

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

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CCSS.HSF.BF.B.5