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Ln(5)

ln(5) is the natural logarithm of 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(5) = 1.6094379124341.

Calculate Ln 5

To solve the equation ln(5) = 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 = 5, a = e:
    ln(5) = log(5) / log(e)
  3. Evaluate the term:
    log(5) / log(e)
    = 1.6094379124341 / 1
    = 1.6094379124341
    = Natural logarithm of 5.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 1.6094379124341 = 5
  • e 1.6094379124341 = 5 is the exponential form of ln(5)
  • e is the logarithm base of ln(5)
  • 5 is the argument of ln(5)
  • 1.6094379124341 is the exponent or power of e 1.6094379124341 = 5
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(5) = 1.6094379124341.
Carry out the change of base logarithm operation.
It means the logarithm of 5 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.6094379124341.
In exponential form is e 1.6094379124341 = 5.
ln of 5 = 1.6094379124341.

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, ln5 = 1.6094379124341.

You now know everything about the logarithm with base e, argument 5 and exponent 1.6094379124341.
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(4.5)=1.5040773967763
ln(4.51)=1.5062971535146
ln(4.52)=1.5085119938441
ln(4.53)=1.5107219394949
ln(4.54)=1.5129270120533
ln(4.55)=1.5151272329629
ln(4.56)=1.5173226235263
ln(4.57)=1.5195132049061
ln(4.58)=1.5216989981261
ln(4.59)=1.5238800240725
ln(4.6)=1.526056303495
ln(4.61)=1.5282278570086
ln(4.62)=1.5303947050936
ln(4.63)=1.5325568680981
ln(4.64)=1.5347143662382
ln(4.65)=1.5368672195993
ln(4.66)=1.5390154481376
ln(4.67)=1.5411590716808
ln(4.68)=1.5432981099296
ln(4.69)=1.5454325824582
ln(4.7)=1.547562508716
ln(4.71)=1.5496879080283
ln(4.72)=1.5518087995975
ln(4.73)=1.5539252025038
ln(4.74)=1.556037135707
ln(4.75)=1.5581446180465
ln(4.76)=1.5602476682433
ln(4.77)=1.5623463049002
ln(4.78)=1.5644405465034
ln(4.79)=1.5665304114228
ln(4.8)=1.5686159179138
ln(4.81)=1.5706970841177
ln(4.82)=1.5727739280625
ln(4.83)=1.5748464676645
ln(4.84)=1.5769147207285
ln(4.85)=1.5789787049494
ln(4.86)=1.5810384379124
ln(4.87)=1.5830939370945
ln(4.88)=1.5851452198651
ln(4.89)=1.5871923034868
ln(4.9)=1.5892352051166
ln(4.91)=1.5912739418064
ln(4.92)=1.5933085305042
ln(4.93)=1.5953389880546
ln(4.94)=1.5973653311998
ln(4.95)=1.5993875765806
ln(4.96)=1.6014057407368
ln(4.97)=1.6034198401085
ln(4.98)=1.6054298910366
ln(4.99)=1.6074359097634
ln(5)=1.6094379124341
ln(5.01)=1.6114359150968
ln(5.02)=1.6134299337036
ln(5.03)=1.6154199841116
ln(5.04)=1.6174060820833
ln(5.05)=1.6193882432873
ln(5.06)=1.6213664832994
ln(5.07)=1.6233408176031
ln(5.08)=1.6253112615904
ln(5.09)=1.6272778305624
ln(5.1)=1.6292405397303
ln(5.11)=1.6311994042156
ln(5.12)=1.6331544390514
ln(5.13)=1.6351056591827
ln(5.14)=1.6370530794671
ln(5.15)=1.6389967146756
ln(5.16)=1.6409365794935
ln(5.17)=1.6428726885203
ln(5.18)=1.6448050562714
ln(5.19)=1.6467336971778
ln(5.2)=1.6486586255874
ln(5.21)=1.6505798557653
ln(5.22)=1.6524974018945
ln(5.23)=1.6544112780768
ln(5.24)=1.6563214983329
ln(5.25)=1.6582280766035
ln(5.26)=1.6601310267496
ln(5.27)=1.6620303625533
ln(5.28)=1.6639260977182
ln(5.29)=1.6658182458702
ln(5.3)=1.6677068205581
ln(5.31)=1.6695918352538
ln(5.32)=1.6714733033535
ln(5.33)=1.6733512381777
ln(5.34)=1.6752256529721
ln(5.35)=1.6770965609079
ln(5.36)=1.6789639750827
ln(5.37)=1.6808279085208
ln(5.38)=1.6826883741737
ln(5.39)=1.6845453849209
ln(5.4)=1.6863989535702
ln(5.41)=1.6882490928584
ln(5.42)=1.6900958154516
ln(5.43)=1.6919391339458
ln(5.44)=1.6937790608678
ln(5.45)=1.6956156086751
ln(5.46)=1.6974487897568
ln(5.47)=1.6992786164339
ln(5.48)=1.7011051009599
ln(5.49)=1.7029282555214
ln(5.5)=1.7047480922384
ln(5.51)=1.7065646231648

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