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10.6 Applications of Logarithms

10.6 Applications of Logarithms. Today’s Date: 3/25/11. Antilog (Base 10). Common log = base 10 log 6 = log 10 6. Write →. If log y = x then y is antilog of x y = antilog x y = 10 x. Example 1) log y = 3.7135 y = antilog 3.7135

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10.6 Applications of Logarithms

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  1. 10.6 Applications of Logarithms Today’s Date: 3/25/11

  2. Antilog (Base 10) Common log = base 10 log 6 = log10 6 Write → If log y = x then y is antilog of x y = antilog x y = 10x Example 1) log y = 3.7135 y = antilog 3.7135 y = 103.7135 = 5170

  3. Change-of-Base Formula use your calculator base 10 base down low log button on your calculator is base 10 Example 2)

  4. Change-of-Base Formula Example 2b) Write in log form base down low

  5. T.O.O. #1 – 9 do the same way

  6. Solve each equation usingChange-of-Base Formula a) Calculation-ready formb) Solution to 3 significant digits #11-13, 17, 19, 23 do same way a) or a) b) b)

  7. Solve each equation usingChange-of-Base Formula a) Calculation-ready formb) Solution to 3 significant digits #15, 16, 22 Do same way a) b)

  8. Solve each equation usingChange-of-Base Formula a) Calculation-ready formb) Solution to 3 significant digits Take log of both sides Don’t forget ( ) Distribute Get terms with x on same side of =

  9. Solve each equation usingChange-of-Base Formula a) Calculation-ready formb) Solution to 3 significant digits Factor out x Solve for x a) or ( ) b) Put in calc with ( ) around denom

  10. Homework #1012 Finish 10.6 Worksheet #20, 21, 25 use change of base & #25 THINK!

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