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Mastering Logarithmic Properties: Product, Quotient, and Power Rules Explained

Dive into the essential properties of logarithms with this comprehensive guide. Explore the Product, Quotient, and Power Rules, and learn how to expand and condense logarithmic expressions. Each concept is illustrated with equivalent expressions to solidify your understanding. Practice your skills with a complete exercise set, focusing on expanding and condensing logarithms as well as writing them as single logarithms. Perfect for homework or exam preparation, this resource will enhance your logarithmic knowledge and problem-solving abilities.

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Mastering Logarithmic Properties: Product, Quotient, and Power Rules Explained

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Presentation Transcript

  1. 8.3 Properties of Logarithms

  2. The Product Rule These are Equivalent!

  3. Expand the expression

  4. Expand the expression

  5. Condense the expression

  6. Condense the expression

  7. The Quotient Rule These are Equivalent!

  8. Expand the expression

  9. Condense the expression

  10. The Power Rule These are Equivalent!

  11. Expand the expression

  12. Expand the expression

  13. Condense the expression

  14. Use logarithmic properties to expand each expression as much as possible.

  15. Use logarithmic properties to expand each expression as much as possible.

  16. Write as a single logarithm

  17. Write as a single logarithm

  18. Write as a single logarithm

  19. Homework • Exercise Set 4.3 # 1 – 70 (multiples of 3)

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