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Ln(4)

ln(4) is the natural logarithm of 4:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(4) = 1.3862943611199.

Calculate Ln 4

To solve the equation ln(4) = 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 = 4, a = e:
    ln(4) = log(4) / log(e)
  3. Evaluate the term:
    log(4) / log(e)
    = 1.3862943611199 / 1
    = 1.3862943611199
    = Natural logarithm of 4.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 1.3862943611199 = 4
  • e 1.3862943611199 = 4 is the exponential form of ln(4)
  • e is the logarithm base of ln(4)
  • 4 is the argument of ln(4)
  • 1.3862943611199 is the exponent or power of e 1.3862943611199 = 4
BTW: Logarithmic equations have many uses in various contexts in science.

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FAQs

ln(4) = 1.3862943611199.
Carry out the change of base logarithm operation.
It means the logarithm of 4 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.3862943611199.
In exponential form is e 1.3862943611199 = 4.
ln of 4 = 1.3862943611199.

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, ln4 = 1.3862943611199.

You now know everything about the logarithm with base e, argument 4 and exponent 1.3862943611199.
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(3.5)=1.2527629684954
ln(3.51)=1.2556160374778
ln(3.52)=1.25846098961
ln(3.53)=1.2612978709452
ln(3.54)=1.2641267271457
ln(3.55)=1.2669476034873
ln(3.56)=1.2697605448639
ln(3.57)=1.2725655957915
ln(3.58)=1.2753628004126
ln(3.59)=1.2781522025002
ln(3.6)=1.2809338454621
ln(3.61)=1.2837077723448
ln(3.62)=1.2864740258377
ln(3.63)=1.2892326482768
ln(3.64)=1.2919836816486
ln(3.65)=1.2947271675944
ln(3.66)=1.2974631474133
ln(3.67)=1.3001916620665
ln(3.68)=1.3029127521808
ln(3.69)=1.3056264580524
ln(3.7)=1.3083328196502
ln(3.71)=1.3110318766193
ln(3.72)=1.3137236682851
ln(3.73)=1.3164082336557
ln(3.74)=1.3190856114264
ln(3.75)=1.3217558399823
ln(3.76)=1.3244189574018
ln(3.77)=1.3270750014599
ln(3.78)=1.3297240096315
ln(3.79)=1.3323660190943
ln(3.8)=1.3350010667323
ln(3.81)=1.3376291891386
ln(3.82)=1.3402504226185
ln(3.83)=1.3428648031926
ln(3.84)=1.3454723665996
ln(3.85)=1.3480731482997
ln(3.86)=1.3506671834767
ln(3.87)=1.3532545070417
ln(3.88)=1.3558351536352
ln(3.89)=1.3584091576304
ln(3.9)=1.3609765531356
ln(3.91)=1.3635373739973
ln(3.92)=1.3660916538024
ln(3.93)=1.3686394258812
ln(3.94)=1.3711807233098
ln(3.95)=1.373715578913
ln(3.96)=1.3762440252664
ln(3.97)=1.3787660946991
ln(3.98)=1.3812818192963
ln(3.99)=1.3837912309018
ln(4)=1.3862943611199
ln(4.01)=1.3887912413185
ln(4.02)=1.3912819026309
ln(4.03)=1.3937663759586
ln(4.04)=1.3962446919731
ln(4.05)=1.3987168811184
ln(4.06)=1.4011829736136
ln(4.07)=1.4036429994545
ln(4.08)=1.4060969884161
ln(4.09)=1.4085449700547
ln(4.1)=1.4109869737103
ln(4.11)=1.4134230285081
ln(4.12)=1.4158531633614
ln(4.13)=1.4182774069729
ln(4.14)=1.4206957878372
ln(4.15)=1.4231083342426
ln(4.16)=1.4255150742732
ln(4.17)=1.4279160358107
ln(4.18)=1.4303112465367
ln(4.19)=1.432700733934
ln(4.2)=1.4350845252893
ln(4.21)=1.4374626476943
ln(4.22)=1.4398351280479
ln(4.23)=1.4422019930582
ln(4.24)=1.4445632692439
ln(4.25)=1.4469189829363
ln(4.26)=1.4492691602813
ln(4.27)=1.4516138272405
ln(4.28)=1.4539530095937
ln(4.29)=1.4562867329399
ln(4.3)=1.4586150226995
ln(4.31)=1.4609379041157
ln(4.32)=1.463255402256
ln(4.33)=1.4655675420144
ln(4.34)=1.4678743481123
ln(4.35)=1.4701758451006
ln(4.36)=1.4724720573609
ln(4.37)=1.4747630091075
ln(4.38)=1.4770487243884
ln(4.39)=1.4793292270871
ln(4.4)=1.4816045409242
ln(4.41)=1.4838746894588
ln(4.42)=1.4861396960896
ln(4.43)=1.488399584057
ln(4.44)=1.4906543764441
ln(4.45)=1.4929040961781
ln(4.46)=1.495148766032
ln(4.47)=1.4973884086255
ln(4.48)=1.4996230464269
ln(4.49)=1.5018527017542
ln(4.5)=1.5040773967763
ln(4.51)=1.5062971535146

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