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Warm-Up April 14 th

Warm-Up April 14 th. HW Check HW 6.5 . a. 12,000 bacteria b. 96,000 bacteria c. 768,000 bacteria 2. 0.5 g a. 6,800 insects b. 425 insects 4. 15 hours 5. 72 billion a. 37,402,600 bact. b. 6,553,790 bact. 7. 2,609,610 people a. 28.6 million b. 29.1 million a. 689 bacteria

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Warm-Up April 14 th

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  1. Warm-Up April 14th

  2. HW Check HW 6.5 • a. 12,000 bacteria b. 96,000 bacteria c. 768,000 bacteria 2. 0.5 g • a. 6,800 insects b. 425 insects 4. 15 hours 5. 72 billion • a. 37,402,600 bact. b. 6,553,790 bact. 7. 2,609,610 people • a. 28.6 million b. 29.1 million • a. 689 bacteria b. 2986 bacteria • a. 172,800 termites b. 371,806 termites c. 627 termites

  3. Properties of Logarithms 6.6

  4. You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?

  5. Properties of Logarithms • Product Property • Quotient Property • Power Property The log bases must be the same in order to apply these properties!

  6. Product Property

  7. Quotient Property

  8. Power Property

  9. Steps for Condensing Step 1: Put everything in the sky (create exponents). Step 2: Combine.

  10. Example 1: Condense the following logarithmic expression.

  11. Example 2: Condense the following logarithmic expression.

  12. Example 3: Condense the following logarithmic expressions.

  13. Steps for Expanding Step 1: Separate the combinations. Step 2: Get everything out of the sky.

  14. Example 4: Expand the following logarithmic expression.

  15. Example 5: Condense the following logarithmic expression.

  16. Example 6: Condense the following logarithmic expressions.

  17. Quick Recap! To combine: • Put everything in the sky. • Combine. To expand: • Separate the combinations. • Get everything out the sky.

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