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Ln(30)

ln(30) is the natural logarithm of 30:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(30) = 3.4011973816622.

Calculate Ln 30

To solve the equation ln(30) = 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 = 30, a = e:
    ln(30) = log(30) / log(e)
  3. Evaluate the term:
    log(30) / log(e)
    = 3.4011973816622 / 1
    = 3.4011973816622
    = Natural logarithm of 30.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 3.4011973816622 = 30
  • e 3.4011973816622 = 30 is the exponential form of ln(30)
  • e is the logarithm base of ln(30)
  • 30 is the argument of ln(30)
  • 3.4011973816622 is the exponent or power of e 3.4011973816622 = 30
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(30) = 3.4011973816622.
Carry out the change of base logarithm operation.
It means the logarithm of 30 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 3.4011973816622.
In exponential form is e 3.4011973816622 = 30.
ln of 30 = 3.4011973816622.

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, ln30 = 3.4011973816622.

You now know everything about the logarithm with base e, argument 30 and exponent 3.4011973816622.
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(30).

Table

Our quick conversion table is easy to use:
ln(x) Value
ln(29.5)=3.3843902633458
ln(29.51)=3.3847291889548
ln(29.52)=3.3850679997323
ln(29.53)=3.3854066957558
ln(29.54)=3.3857452771032
ln(29.55)=3.3860837438521
ln(29.56)=3.38642209608
ln(29.57)=3.3867603338644
ln(29.58)=3.3870984572827
ln(29.59)=3.3874364664121
ln(29.6)=3.38777436133
ln(29.61)=3.3881121421135
ln(29.62)=3.3884498088397
ln(29.63)=3.3887873615855
ln(29.64)=3.3891248004279
ln(29.65)=3.3894621254437
ln(29.66)=3.3897993367098
ln(29.67)=3.3901364343027
ln(29.68)=3.3904734182992
ln(29.69)=3.3908102887757
ln(29.7)=3.3911470458087
ln(29.71)=3.3914836894745
ln(29.72)=3.3918202198496
ln(29.73)=3.39215663701
ln(29.74)=3.392492941032
ln(29.75)=3.3928291319916
ln(29.76)=3.3931652099649
ln(29.77)=3.3935011750277
ln(29.78)=3.3938370272559
ln(29.79)=3.3941727667252
ln(29.8)=3.3945083935114
ln(29.81)=3.39484390769
ln(29.82)=3.3951793093366
ln(29.83)=3.3955145985267
ln(29.84)=3.3958497753356
ln(29.85)=3.3961848398386
ln(29.86)=3.396519792111
ln(29.87)=3.396854632228
ln(29.88)=3.3971893602646
ln(29.89)=3.3975239762958
ln(29.9)=3.3978584803966
ln(29.91)=3.3981928726419
ln(29.92)=3.3985271531063
ln(29.93)=3.3988613218646
ln(29.94)=3.3991953789915
ln(29.95)=3.3995293245615
ln(29.96)=3.399863158649
ln(29.97)=3.4001968813286
ln(29.98)=3.4005304926745
ln(29.99)=3.4008639927609
ln(30)=3.4011973816622
ln(30.01)=3.4015306594523
ln(30.02)=3.4018638262053
ln(30.03)=3.4021968819952
ln(30.04)=3.4025298268959
ln(30.05)=3.4028626609812
ln(30.06)=3.4031953843248
ln(30.07)=3.4035279970004
ln(30.08)=3.4038604990816
ln(30.09)=3.404192890642
ln(30.1)=3.4045251717548
ln(30.11)=3.4048573424936
ln(30.12)=3.4051894029317
ln(30.13)=3.4055213531422
ln(30.14)=3.4058531931984
ln(30.15)=3.4061849231732
ln(30.16)=3.4065165431398
ln(30.17)=3.406848053171
ln(30.18)=3.4071794533397
ln(30.19)=3.4075107437188
ln(30.2)=3.4078419243808
ln(30.21)=3.4081729953986
ln(30.22)=3.4085039568446
ln(30.23)=3.4088348087914
ln(30.24)=3.4091655513113
ln(30.25)=3.4094961844769
ln(30.26)=3.4098267083602
ln(30.27)=3.4101571230336
ln(30.28)=3.4104874285693
ln(30.29)=3.4108176250391
ln(30.3)=3.4111477125153
ln(30.31)=3.4114776910697
ln(30.32)=3.4118075607742
ln(30.33)=3.4121373217005
ln(30.34)=3.4124669739204
ln(30.35)=3.4127965175055
ln(30.36)=3.4131259525274
ln(30.37)=3.4134552790577
ln(30.38)=3.4137844971676
ln(30.39)=3.4141136069287
ln(30.4)=3.4144426084122
ln(30.41)=3.4147715016893
ln(30.42)=3.4151002868312
ln(30.43)=3.4154289639089
ln(30.44)=3.4157575329935
ln(30.45)=3.4160859941559
ln(30.46)=3.416414347467
ln(30.47)=3.4167425929976
ln(30.48)=3.4170707308185
ln(30.49)=3.4173987610002
ln(30.5)=3.4177266836134

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