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Logarithm Practice

Logarithm Practice. WECHS – 13 December 2010. Logarithm Example 1. Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. How would you solve this?. Logarithm Example 1.

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Logarithm Practice

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  1. Logarithm Practice WECHS – 13 December 2010

  2. Logarithm Example 1 • Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. • How would you solve this?

  3. Logarithm Example 1 • Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. • Use the Product Property:

  4. Logarithm Example 1 • Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. • Use the Product Property:

  5. Logarithm Example 1 • Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. • Use the Product Property:

  6. Logarithm Example 1 • Given that log 2.72 = 0.4346, approximate the following without a calculator: log 0.272, log 272, and log 0.00272. • Use the Product Property:

  7. Logarithm Example 2 • Solve the equation 4=3x using logs in base 3 and base 10. • How do logs allow you to solve for x?

  8. Logarithm Example 2 • Solve the equation 4=3x using logs in base 3 and base 10. • How do logs allow you to solve for x? • Because the Product Property lets you take an exponent out of the log. PRODUCT PROPERTY

  9. Logarithm Example 2 • Solve the equation 4=3x using logs in base 10 and base 3. • First take the log of both sides: • So,

  10. Logarithm Example 2 • Solve the equation 4=3x using logs in base 10 and base 3. • First take the log of both sides: • So, • Finally,

  11. Logarithm Example 2 • Our solution works no matter what base you use for the logarithm. What if we change to base 3?

  12. Logarithm Example 2 • Our solution works no matter what base you use for the logarithm. What if we change to base 3? • So,

  13. Practice Problems • EOC practice problems 1-4 at: http://www.ncpublicschools.org/docs/accountability/testing/eoc/sampleitems/alg2/20071207alg2g1.pdf Problem 1: pure calculator Problem 2: change from log to exponent Problems 3 & 4: harder problems – use logs to solve equations with x in the exponent.

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