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Exploring Logarithmic Functions: Simplifying, Solving, and Evaluating

Learn to simplify and evaluate expressions, solve equations related to logarithms. Discover the properties of logarithmic and exponential functions. John Napier's contribution to logarithms and their applications. Practice exercises and homework included.

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Exploring Logarithmic Functions: Simplifying, Solving, and Evaluating

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  1. Properties of Logarithmic Functions • Objectives: • Simplify and evaluate expressions involving logarithms. • Solve equations involving logarithms. • Standard: • 2.8.11.N. Solve equations.

  2. Warm-Up:

  3. John Napier is most remembered as the inventor of logarithms and Napier's bones, and for popularizing the use of the decimal point. Napier's birth place, Merchiston Tower, Edinburgh, Scotland, is now part of Edinburgh Napier University. After dying of gout, Napier was buried in St Cuthbert's Church, Edinburgh.

  4. Properties of Exponents Product Property Quotient Property Power Property

  5. TRY THIS, top of 379

  6. TRY THIS - middle of p. 379

  7. page 381 #5-8

  8. TRY THIS – top of p. 380

  9. Exponential- Logarithmic Inverse Properties: For b > 0, b ≠1: TRY THIS – Bottom of 380

  10. p. 381 #9-11

  11. p. 381 #12

  12. p. 382: #30-36 even

  13. p. 382: #44, 46, 48, 56

  14. HOMEWORK: Practice 6.4 Quiz on 6.1 – 6.4: Fri Apr 23

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