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            ลอการิทึมสามัญ หมายถึง ลอการิทึมฐาน 10 เขียนแทนด้วย log10A หรือ logA
            เมื่อเขียนจำนวนจริง N ใดๆ ในรูปของ a x 10n โดยที่

            จะสามารถหาค่าของ logN ได้โดย

logN = loga + n

            เรียก n ซึ่งเป็นจำนวนเต็มว่า ค่าคาแรคเทอริสติก (Characteristic)
            เรียก log a ซึ่ง 0 < log a < 1 ว่า ค่าแมนทิสซา (Mantissa)
            เรียก N ว่า แอนติลอการิทึม (Antilogarithm) ของ log N (มีค่าเป็นบวกเสมอ)


            เป็นการทำย้อนกลับเมื่อกำหนดค่า log N แล้วให้หาค่า N โดยเรียก N ว่า แอนติลอการิทึม ของ log N
จะได้   1. Antilog x = N เมื่อ logN = x

            2. Antilog(log N) = N

log N log(ax10n) characteristic mantissa
1. log 316      
       
       
2. log 31.6      
       
       
3. log 0.00316      
       
       
4. log 413.75      
       
       

 

2. กำหนด  หาค่าของ
    2.1  log 485

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   2.2 log 0.00485

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    2.3 log 485000

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3. กำหนด log 896 มีค่า mantissa = 0.9523 หาค่าของ

    3.1  log 8.96

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    3.2  log 0.000896

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4. กำหนด  หาค่าของ log 1153

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5. กำหนด Antilog 0.4082 = 2.56 หาค่าของ N
    5.1  logN = 4.4082

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    5.2  logN = 0.4082-2

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    5.3  logN = -3.4082

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  การเปลี่ยนฐานลอการิทึม
      เมื่อ a , M , N เป็นจำนวนจริงบวก โดยที่

      จะได้ว่า 


เช่น กำหนดให้   หาค่าของ log512

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เช่น กำหนดให้   หาค่าของ log1,0245

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เช่น กำหนดให้   หาค่าของ log97

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เช่น หาค่าของ  เมื่อกำหนดให้ Antilog 0.7980 = 6.28   Antilog 0.3979 = 2.50 และ Antilog 0.3997 = 2.51

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           ลอการิทึมธรรมชาติ คือ log ฐาน e เมื่อ e เป็นจำนวนอตรรกยะ และ
            logex จะเขียนแทนด้วย ln X

           

           1. หาค่าของ ln 72 เมื่อ log 72 = 1.8573

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           2. หาค่าของ ln 0.324 เมื่อ Antilog 0.5105 = 3.24

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