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Section 11-5

Section 11-5. Common Logarithms. Logarithms with base 10 are called common logarithms. You can easily find the common logarithms of integral powers of 10. A common logarithm is made up of two parts. Common Logarithm – logarithms that use ten as the base

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Section 11-5

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  1. Section 11-5 Common Logarithms

  2. Logarithms with base 10 are called common logarithms. You can easily find the common logarithms of integral powers of 10.

  3. A common logarithm is made up of two parts. • Common Logarithm – logarithms that use ten as the base • Characteristic – the exponent of 10 that is used to write the number in scientific notation • Mantissa –the common logarithm of a number between 1 and 10

  4. Mantissa Characteristic Is 6

  5. Given that log 5 = 0.6990, evaluate each logarithm. a. log 50,000 b. log 0.005

  6. Evaluate

  7. Evaluate

  8. Evaluate

  9. Evaluate

  10. Change of Base Formula

  11. Find the value Using the change of base formula

  12. Find the value Using the change of base formula

  13. Find the value Using the change of base formula

  14. Find the value Using the change of base formula

  15. Antilogarithm – written antilog a log x = 1.95 Use antilog to solve for x

  16. Solve

  17. Solve

  18. Solve

  19. Solve

  20. Solve

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