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Log(100)

Log (100) is the decimal logarithm of 100:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log(100) = 2.

Calculate Log 100

To solve the equation log (100) = x using a base distinct from 10 carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = e:
    log a (x) = ln(x) / ln(a)
  2. Substitute the variables:
    With x = 100, a = 10:
    log (100) = ln(100) / ln(10)
  3. Evaluate the term:
    ln(100) / ln(10)
    = 8.74113642290101 / 2.30258509299405
    = 2
    = Decimal logarithm of 100

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 10 2 = 100
  • 10 2 = 100 is the exponential form of log(100)
  • 10 is the logarithm base of log(100)
  • 100 is the argument of log(100)
  • 2 is the exponent or power of 10 2 = 100
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

Log(100) = 2.
Carry out the change of base logarithm operation.
It means the logarithm of 100 with base 10.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 2.
In exponential form is 10 2 = 100.
Decimal log of 100 = 2.

For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.

Summary

In conclusion, log 100 = 2.

You now know everything about the decimal logarithm with argument 100 and exponent 2.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.

Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.

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Table

Our quick conversion table is easy to use:
log(x) Value
log(99.5)=1.9978230807457
log(99.51)=1.9978667262391
log(99.52)=1.9979103673467
log(99.53)=1.9979540040694
log(99.54)=1.997997636408
log(99.55)=1.9980412643634
log(99.56)=1.9980848879366
log(99.57)=1.9981285071283
log(99.58)=1.9981721219394
log(99.59)=1.998215732371
log(99.6)=1.9982593384237
log(99.61)=1.9983029400985
log(99.62)=1.9983465373964
log(99.63)=1.998390130318
log(99.64)=1.9984337188645
log(99.65)=1.9984773030365
log(99.66)=1.998520882835
log(99.67)=1.9985644582609
log(99.68)=1.9986080293151
log(99.69)=1.9986515959984
log(99.7)=1.9986951583117
log(99.71)=1.9987387162558
log(99.72)=1.9987822698317
log(99.73)=1.9988258190403
log(99.74)=1.9988693638823
log(99.75)=1.9989129043588
log(99.76)=1.9989564404705
log(99.77)=1.9989999722183
log(99.78)=1.9990434996032
log(99.79)=1.9990870226259
log(99.8)=1.9991305412874
log(99.81)=1.9991740555885
log(99.82)=1.9992175655301
log(99.83)=1.9992610711131
log(99.84)=1.9993045723383
log(99.85)=1.9993480692067
log(99.86)=1.9993915617191
log(99.87)=1.9994350498763
log(99.88)=1.9994785336793
log(99.89)=1.9995220131289
log(99.9)=1.999565488226
log(99.91)=1.9996089589714
log(99.92)=1.9996524253661
log(99.93)=1.9996958874108
log(99.94)=1.9997393451066
log(99.95)=1.9997827984541
log(99.96)=1.9998262474544
log(99.97)=1.9998696921083
log(99.98)=1.9999131324166
log(99.99)=1.9999565683802
log(100)=2
log(100.01)=2.0000434272769
log(100.02)=2.0000868502117
log(100.03)=2.0001302688052
log(100.04)=2.0001736830585
log(100.05)=2.0002170929722
log(100.06)=2.0002604985474
log(100.07)=2.0003038997848
log(100.08)=2.0003472966854
log(100.09)=2.0003906892499
log(100.1)=2.0004340774793
log(100.11)=2.0004774613745
log(100.12)=2.0005208409362
log(100.13)=2.0005642161654
log(100.14)=2.0006075870629
log(100.15)=2.0006509536296
log(100.16)=2.0006943158664
log(100.17)=2.000737673774
log(100.18)=2.0007810273535
log(100.19)=2.0008243766056
log(100.2)=2.0008677215312
log(100.21)=2.0009110621312
log(100.22)=2.0009543984065
log(100.23)=2.0009977303578
log(100.24)=2.0010410579861
log(100.25)=2.0010843812922
log(100.26)=2.001127700277
log(100.27)=2.0011710149414
log(100.28)=2.0012143252862
log(100.29)=2.0012576313122
log(100.3)=2.0013009330204
log(100.31)=2.0013442304116
log(100.32)=2.0013875234866
log(100.33)=2.0014308122464
log(100.34)=2.0014740966917
log(100.35)=2.0015173768235
log(100.36)=2.0015606526426
log(100.37)=2.0016039241498
log(100.38)=2.001647191346
log(100.39)=2.0016904542322
log(100.4)=2.001733712809
log(100.41)=2.0017769670774
log(100.42)=2.0018202170383
log(100.43)=2.0018634626925
log(100.44)=2.0019067040409
log(100.45)=2.0019499410843
log(100.46)=2.0019931738235
log(100.47)=2.0020364022595
log(100.48)=2.0020796263931
log(100.49)=2.0021228462252
log(100.5)=2.0021660617565

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