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Algebra 3 Warm-Up 5.5 A

Algebra 3 Warm-Up 5.5 A. 1. Change to Exponential Form: x = log 15 34 15 x = 34 Change to Logarithmic Form: 4 8 = x 8 = log 4 x. Algebra 3 Lesson 5.5 A Objective: SSBAT use the properties of logarithms t o expand an expression. Standards: 2.8.11S.

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Algebra 3 Warm-Up 5.5 A

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  1. Algebra 3 Warm-Up 5.5 A • 1. Change to Exponential Form: x = log15 34 • 15x= 34 • Change to Logarithmic Form: 48 = x • 8 = log4 x

  2. Algebra 3 Lesson 5.5 A Objective: SSBAT use the properties of logarithms to expand an expression. Standards: 2.8.11S

  3. Properties of Logarithms • For any positive numbers M, N and b and b ≠ 1. • logb MN = logb M + logb N • 2. logb = logb M – logbN 3. logbMx = x logb M

  4. Properties of Logarithms • logb b = 1 • 5. logb 1 = 0

  5. Expand each. • log4 5x • = log4 5 + log4 x • log7 15n • = log7 15 + log7 n

  6. Examples 3. = log2 x – log2 5 4. = log6 – log w

  7. log8 n6 • = 6 log8 n • log3 x-4 • = -4 log3 x

  8. More than 1 property at a time. • log36xy • = log3 6 + log3 x + log3 y • log5 3x2 • = log5 3 + log5 x2 • = log5 3 + 2 log5x

  9. log m4n6 • = log m4 + log n6 • = 4 log m + 6 log n

  10. 10. = log4 x2 – log4 w3 = 2 log4 x – 3 log4 w

  11. 11.

  12. 12. = log x5w7 – log y6 = log x5 + log w7 – log y6 = 5 log x + 7 log w – 6 log y

  13. On your own. log2 8y log8 wx3 3. log

  14. Homework Worksheet 5.5 A

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