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8.4 Properties of Logarithms

8.4 Properties of Logarithms. log b MN = log b M + log b N (product) log b M/N = log b M – log b N (quotient) log b M x = xlog b M (power). Ex 1. State the property: log 6 = log 2 + log 3. Ex 2. State the property. Ex 3. Write as a single logarithm (condense): log 4 64 – log 4 16.

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8.4 Properties of Logarithms

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  1. 8.4 Properties of Logarithms

  2. logbMN = logbM + logbN (product) • logbM/N = logbM – logbN (quotient) • logbMx = xlogbM (power)

  3. Ex 1 • State the property: log 6 = log 2 + log 3

  4. Ex 2 • State the property

  5. Ex 3 • Write as a single logarithm (condense): log464 – log416

  6. Ex 4 • Condense: 6log5x + log5y

  7. Ex 5 • Expand log7

  8. Ex 6 • Expand log4p3

  9. Ex 7 • Expand log5

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