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Ln(12)

ln(12) is the natural logarithm of 12:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(12) = 2.484906649788.

Calculate Ln 12

To solve the equation ln(12) = x carry out the following steps.
  1. Apply the change of base rule:
    ln (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 12, a = e:
    ln(12) = log(12) / log(e)
  3. Evaluate the term:
    log(12) / log(e)
    = 2.484906649788 / 1
    = 2.484906649788
    = Natural logarithm of 12.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 2.484906649788 = 12
  • e 2.484906649788 = 12 is the exponential form of ln(12)
  • e is the logarithm base of ln(12)
  • 12 is the argument of ln(12)
  • 2.484906649788 is the exponent or power of e 2.484906649788 = 12
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(12) = 2.484906649788.
Carry out the change of base logarithm operation.
It means the logarithm of 12 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 2.484906649788.
In exponential form is e 2.484906649788 = 12.
ln of 12 = 2.484906649788.

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, ln12 = 2.484906649788.

You now know everything about the logarithm with base e, argument 12 and exponent 2.484906649788.
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:
ln(x) Value
ln(11.5)=2.4423470353692
ln(11.51)=2.4432162227338
ln(11.52)=2.4440846552677
ln(11.53)=2.444952334281
ln(11.54)=2.44581926108
ln(11.55)=2.4466854369678
ln(11.56)=2.4475508632442
ln(11.57)=2.4484155412056
ln(11.58)=2.4492794721448
ln(11.59)=2.4501426573517
ln(11.6)=2.4510050981123
ln(11.61)=2.4518667957098
ln(11.62)=2.4527277514238
ln(11.63)=2.4535879665306
ln(11.64)=2.4544474423033
ln(11.65)=2.4553061800117
ln(11.66)=2.4561641809223
ln(11.67)=2.4570214462985
ln(11.68)=2.4578779774001
ln(11.69)=2.458733775484
ln(11.7)=2.4595888418037
ln(11.71)=2.4604431776096
ln(11.72)=2.4612967841489
ln(11.73)=2.4621496626654
ln(11.74)=2.4630018143999
ln(11.75)=2.4638532405902
ln(11.76)=2.4647039424705
ln(11.77)=2.4655539212722
ln(11.78)=2.4664031782234
ln(11.79)=2.4672517145493
ln(11.8)=2.4680995314716
ln(11.81)=2.4689466302093
ln(11.82)=2.469793011978
ln(11.83)=2.4706386779903
ln(11.84)=2.4714836294559
ln(11.85)=2.4723278675811
ln(11.86)=2.4731713935696
ln(11.87)=2.4740142086216
ln(11.88)=2.4748563139345
ln(11.89)=2.4756977107027
ln(11.9)=2.4765384001175
ln(11.91)=2.4773783833672
ln(11.92)=2.4782176616372
ln(11.93)=2.4790562361098
ln(11.94)=2.4798941079645
ln(11.95)=2.4807312783775
ln(11.96)=2.4815677485225
ln(11.97)=2.4824035195699
ln(11.98)=2.4832385926873
ln(11.99)=2.4840729690394
ln(12)=2.484906649788
ln(12.01)=2.4857396360919
ln(12.02)=2.4865719291071
ln(12.03)=2.4874035299866
ln(12.04)=2.4882344398807
ln(12.05)=2.4890646599367
ln(12.06)=2.489894191299
ln(12.07)=2.4907230351094
ln(12.08)=2.4915511925067
ln(12.09)=2.4923786646267
ln(12.1)=2.4932054526027
ln(12.11)=2.494031557565
ln(12.12)=2.4948569806412
ln(12.13)=2.495681722956
ln(12.14)=2.4965057856314
ln(12.15)=2.4973291697866
ln(12.16)=2.498151876538
ln(12.17)=2.4989739069994
ln(12.18)=2.4997952622817
ln(12.19)=2.5006159434932
ln(12.2)=2.5014359517392
ln(12.21)=2.5022552881226
ln(12.22)=2.5030739537434
ln(12.23)=2.5038919496991
ln(12.24)=2.5047092770842
ln(12.25)=2.5055259369907
ln(12.26)=2.5063419305081
ln(12.27)=2.5071572587228
ln(12.28)=2.507971922719
ln(12.29)=2.5087859235779
ln(12.3)=2.5095992623784
ln(12.31)=2.5104119401964
ln(12.32)=2.5112239581054
ln(12.33)=2.5120353171763
ln(12.34)=2.5128460184772
ln(12.35)=2.513656063074
ln(12.36)=2.5144654520295
ln(12.37)=2.5152741864044
ln(12.38)=2.5160822672564
ln(12.39)=2.516889695641
ln(12.4)=2.517696472611
ln(12.41)=2.5185025992165
ln(12.42)=2.5193080765053
ln(12.43)=2.5201129055226
ln(12.44)=2.520917087311
ln(12.45)=2.5217206229107
ln(12.46)=2.5225235133593
ln(12.47)=2.5233257596919
ln(12.48)=2.5241273629413
ln(12.49)=2.5249283241375
ln(12.5)=2.5257286443083
ln(12.51)=2.5265283244788

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