Home » Natural Logarithms » Ln(138)

Ln(138)

ln(138) is the natural logarithm of 138:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(138) = 4.9272536851572.

Calculate Ln 138

To solve the equation ln(138) = 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 = 138, a = e:
    ln(138) = log(138) / log(e)
  3. Evaluate the term:
    log(138) / log(e)
    = 4.9272536851572 / 1
    = 4.9272536851572
    = Natural logarithm of 138.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 4.9272536851572 = 138
  • e 4.9272536851572 = 138 is the exponential form of ln(138)
  • e is the logarithm base of ln(138)
  • 138 is the argument of ln(138)
  • 4.9272536851572 is the exponent or power of e 4.9272536851572 = 138
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(138) = 4.9272536851572.
Carry out the change of base logarithm operation.
It means the logarithm of 138 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 4.9272536851572.
In exponential form is e 4.9272536851572 = 138.
ln of 138 = 4.9272536851572.

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, ln138 = 4.9272536851572.

You now know everything about the logarithm with base e, argument 138 and exponent 4.9272536851572.
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.

If you have not already done so, please hit the share buttons, and install our PWA app (see menu or sidebar). Thanks for visiting ln(138).

Table

Our quick conversion table is easy to use:
ln(x) Value
ln(137.5)=4.9236239171066
ln(137.51)=4.9236966417349
ln(137.52)=4.9237693610746
ln(137.53)=4.9238420751266
ln(137.54)=4.9239147838917
ln(137.55)=4.9239874873706
ln(137.56)=4.9240601855641
ln(137.57)=4.9241328784729
ln(137.58)=4.9242055660979
ln(137.59)=4.9242782484397
ln(137.6)=4.9243509254992
ln(137.61)=4.9244235972772
ln(137.62)=4.9244962637743
ln(137.63)=4.9245689249914
ln(137.64)=4.9246415809293
ln(137.65)=4.9247142315886
ln(137.66)=4.9247868769702
ln(137.67)=4.9248595170749
ln(137.68)=4.9249321519033
ln(137.69)=4.9250047814563
ln(137.7)=4.9250774057346
ln(137.71)=4.925150024739
ln(137.72)=4.9252226384703
ln(137.73)=4.9252952469292
ln(137.74)=4.9253678501166
ln(137.75)=4.925440448033
ln(137.76)=4.9255130406794
ln(137.77)=4.9255856280565
ln(137.78)=4.925658210165
ln(137.79)=4.9257307870058
ln(137.8)=4.9258033585796
ln(137.81)=4.9258759248871
ln(137.82)=4.9259484859291
ln(137.83)=4.9260210417063
ln(137.84)=4.9260935922197
ln(137.85)=4.9261661374698
ln(137.86)=4.9262386774575
ln(137.87)=4.9263112121835
ln(137.88)=4.9263837416487
ln(137.89)=4.9264562658536
ln(137.9)=4.9265287847993
ln(137.91)=4.9266012984862
ln(137.92)=4.9266738069154
ln(137.93)=4.9267463100874
ln(137.94)=4.9268188080031
ln(137.95)=4.9268913006633
ln(137.96)=4.9269637880686
ln(137.97)=4.9270362702199
ln(137.98)=4.927108747118
ln(137.99)=4.9271812187635
ln(138)=4.9272536851572
ln(138.01)=4.9273261462999
ln(138.02)=4.9273986021925
ln(138.03)=4.9274710528355
ln(138.04)=4.9275434982298
ln(138.05)=4.9276159383762
ln(138.06)=4.9276883732753
ln(138.07)=4.9277608029281
ln(138.08)=4.9278332273351
ln(138.09)=4.9279056464973
ln(138.1)=4.9279780604152
ln(138.11)=4.9280504690898
ln(138.12)=4.9281228725218
ln(138.13)=4.9281952707119
ln(138.14)=4.9282676636608
ln(138.15)=4.9283400513694
ln(138.16)=4.9284124338384
ln(138.17)=4.9284848110686
ln(138.18)=4.9285571830606
ln(138.19)=4.9286295498154
ln(138.2)=4.9287019113336
ln(138.21)=4.9287742676159
ln(138.22)=4.9288466186632
ln(138.23)=4.9289189644763
ln(138.24)=4.9289913050557
ln(138.25)=4.9290636404024
ln(138.26)=4.9291359705171
ln(138.27)=4.9292082954005
ln(138.28)=4.9292806150534
ln(138.29)=4.9293529294766
ln(138.3)=4.9294252386707
ln(138.31)=4.9294975426366
ln(138.32)=4.929569841375
ln(138.33)=4.9296421348867
ln(138.34)=4.9297144231724
ln(138.35)=4.9297867062329
ln(138.36)=4.929858984069
ln(138.37)=4.9299312566813
ln(138.38)=4.9300035240707
ln(138.39)=4.9300757862378
ln(138.4)=4.9301480431836
ln(138.41)=4.9302202949086
ln(138.42)=4.9302925414137
ln(138.43)=4.9303647826996
ln(138.44)=4.9304370187671
ln(138.45)=4.930509249617
ln(138.46)=4.9305814752499
ln(138.47)=4.9306536956666
ln(138.48)=4.9307259108679
ln(138.49)=4.9307981208546
ln(138.5)=4.9308703256274
ln(138.51)=4.930942525187

Natural Logarithm Quiz

Take our free natural logarithm quiz practice to test your knowledge of logarithm with base e.

Take Natural Logarithm Quiz Now!
Scroll to Top