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Properties of Logs

Properties of Logs. Product Rule. Let M= b p and N = b q Then log b M = p and log b N = q The product MN = b p · b q = b p+q So log b MN = p + q Thus: log b MN = log b M + log b N. Quotient Rule. Power Rule. Can you write this derivation? . . .

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Properties of Logs

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  1. Properties of Logs

  2. Product Rule LetM= bpand N = bq Then logbM= p andlogbN = q The product MN =bp· bq=bp+q So logbMN=p+q Thus: logbMN = logbM + logbN

  3. Quotient Rule

  4. Power Rule Can you write this derivation? . . . Thus logbMq = q·logbM

  5. Change of Basepage 443 in your book

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