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Introduction to Logarithms

This lesson provides a comprehensive overview of logarithms, focusing on exponential growth and decay. It introduces key concepts such as initial value (y-intercept) and growth/decay rates. We explore a practical example involving a bacteria population that doubles every hour, starting from an initial sample of 40. The lesson poses questions about calculating population after a certain duration and determining the time needed to reach a specific population. Additionally, we cover finding the inverse of exponential functions and their application in real-world scenarios.

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Introduction to Logarithms

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  1. Introduction to Logarithms Lesson 7.3

  2. Review: y = abx • a: initial value/y-intercept • b: growth rate • Growth: b > 1 • Decay: 0 < b < 1

  3. A bacteria population doubles every hour. If you start with a sample of 40 bacteria, how many will there be in 3 hours?

  4. A bacteria population doubles every hour. If you start with a sample of 40 bacteria, after how many hours will there be 1000 bacteria present?

  5. a power m n b

  6. 2 0 4 4 2 0

  7. -3 -1 -2 -2 -1 -3

  8. 2 .903 .602 1.857

  9. 2.079 1 1.099 1 0 -.288

  10. Find the inverse:

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