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Warm up

Warm up. Solve for x: 1. 5 3 − 2 x =5 − x 2. 3 2 a =3 − a 3. 3 1 − 2 x = 243. Lesson 10-2 Logarithmic Functions. Objective: To learn to use both natural & common logarithmic functions. Logarithmic Functions. Logarithms were originally developed to simplify complex

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Warm up

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  1. Warm up • Solve for x: • 1. 53 − 2x =5−x • 2. 32a=3−a • 3. 31 − 2x= 243

  2. Lesson 10-2 Logarithmic Functions Objective: To learn to use both natural & common logarithmic functions.

  3. Logarithmic Functions Logarithms were originally developed to simplify complex arithmetic calculations.

  4. Definition of Logarithm Suppose b>0 and b≠1, there is a number ‘y’ such that: If and only if

  5. Common Logarithm

  6. Natural Logarithm

  7. Example : Solution:

  8. Example Solution:

  9. Practice

  10. Example Solution: We read this as: ”the log base 2 of 8 is equal to 3”.

  11. Example Solution: Read as: “the log base 4 of 16 is equal to 2”.

  12. Example Solution:

  13. Practice

  14. Semi Log graph paper

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