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Laws (Properties) of Logarithms

Laws (Properties) of Logarithms. Section 3.3. Objectives. Rewrite (expand) a logarithm to contain no logarithms of products, quotients, or powers. Rewrite (condense) a logarithmic expression into the logarithm of a single value.

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Laws (Properties) of Logarithms

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  1. Laws (Properties) of Logarithms Section 3.3

  2. Objectives • Rewrite (expand) a logarithm to contain no logarithms of products, quotients, or powers. • Rewrite (condense) a logarithmic expression into the logarithm of a single value. • Use the change of base formula to rewrite a logarithm as a common logarithm or a natural logarithm.

  3. Vocabulary • product rule: multiplication becomes addition • quotient rule: division becomes subtraction • power rule: exponent becomes multiplier

  4. Laws of Logarithms • product rule - multiplication becomes addition • quotient rule - division becomes subtraction • power rule - exponent becomes multiplier

  5. Change of Base Formula

  6. Use the Laws of Logarithms  to rewrite the expression in a form with no logarithm of a product, quotient or power.

  7. Use the Laws of Logarithms  to rewrite the expression in a form with no logarithm of a product, quotient or power.

  8. Rewrite the expression as a single logarithm.

  9. Rewrite the expression as a single logarithm.

  10. Evaluate the expression without using the Change of Base Formula.

  11. Evaluate the expression using the Change of Base Formula

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