Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
1) Please TURN OFF your phone or put on AIRPLANE MODE
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
https://www.youtube.com/watch?v=EvQCLCaiq2U
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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https://play.kahoot.it/#/k/50208155­bf9b­4ff0­9a8d­0932b4fbe50f
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
Warm­Up
Rewrite the following. Evaluate when possible.
• log2 32 = 5
• log8 512 = ?
• 3. e x+1 = 0.5
• 73 = 343
• 5. 8x = 64
• 6. log3 342 = ?
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
Obj: Expanding Logarithms
Condensing Logarithms
Laws of Logarithms
Product: loga (AB) = loga (A) + loga (B)
Quotient: Power: loga(AC) = C * loga (A)
***Same laws for natural logs***
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
Expanding Logs
• Apply the laws of logs to rewrite a single logarithmic term as an expression of logarithmic terms.
• Each term will have the same base.
• The number of factors in the original expression will be the number of terms in the expanded expression.
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
EX. – Expand the following.
Laws:
loga (AB) = loga (A) + loga (B)
• 1. log2 (6x)
• 2. log7 (3xy5)
loga(AC) = C * loga (A)
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
Laws:
loga (AB) = loga (A) + loga (B)
3.
4. loga(AC) = C • loga (A)
5. 17
Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
Condensing Logs • Apply the laws of logs to rewrite a logarithmic expression as a single logarithmic term.
• The number of terms in the log expression represent the number of factors in the single log term.
• You can ONLY condense log terms that have the same base!!!
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
EX. – Condense the following:
• log4 2 + log4 32 • 3. 3log(7x + 6)
• log(4x) – log (7)
• 4. 2 log(x) + log (x – 1)
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
February 09, 2017
• 3(log2 x + log2 y – log2 5)
• ½ [ln 5 + 2ln x – ln(x2 + 5)]
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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Quizlet.live
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Logs as inverses, Properties of Logs, Expanding and Condensing notes.notebook
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