Home » Natural Logarithms » Ln(22)

Ln(22)

ln(22) is the natural logarithm of 22:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(22) = 3.0910424533583.

Calculate Ln 22

To solve the equation ln(22) = 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 = 22, a = e:
    ln(22) = log(22) / log(e)
  3. Evaluate the term:
    log(22) / log(e)
    = 3.0910424533583 / 1
    = 3.0910424533583
    = Natural logarithm of 22.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 3.0910424533583 = 22
  • e 3.0910424533583 = 22 is the exponential form of ln(22)
  • e is the logarithm base of ln(22)
  • 22 is the argument of ln(22)
  • 3.0910424533583 is the exponent or power of e 3.0910424533583 = 22
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(22) = 3.0910424533583.
Carry out the change of base logarithm operation.
It means the logarithm of 22 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 3.0910424533583.
In exponential form is e 3.0910424533583 = 22.
ln of 22 = 3.0910424533583.

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, ln22 = 3.0910424533583.

You now know everything about the logarithm with base e, argument 22 and exponent 3.0910424533583.
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(22).

Table

Our quick conversion table is easy to use:
ln(x) Value
ln(21.5)=3.0680529351336
ln(21.51)=3.0685179432796
ln(21.52)=3.0689827352936
ln(21.53)=3.0694473113763
ln(21.54)=3.0699116717282
ln(21.55)=3.0703758165498
ln(21.56)=3.0708397460408
ln(21.57)=3.0713034604011
ln(21.58)=3.07176695983
ln(21.59)=3.0722302445267
ln(21.6)=3.0726933146901
ln(21.61)=3.0731561705188
ln(21.62)=3.0736188122111
ln(21.63)=3.074081239965
ln(21.64)=3.0745434539783
ln(21.65)=3.0750054544485
ln(21.66)=3.0754672415728
ln(21.67)=3.0759288155483
ln(21.68)=3.0763901765714
ln(21.69)=3.0768513248388
ln(21.7)=3.0773122605464
ln(21.71)=3.0777729838902
ln(21.72)=3.0782334950657
ln(21.73)=3.0786937942683
ln(21.74)=3.0791538816931
ln(21.75)=3.0796137575347
ln(21.76)=3.0800734219877
ln(21.77)=3.0805328752465
ln(21.78)=3.0809921175048
ln(21.79)=3.0814511489565
ln(21.8)=3.081909969795
ln(21.81)=3.0823685802135
ln(21.82)=3.0828269804049
ln(21.83)=3.0832851705619
ln(21.84)=3.0837431508767
ln(21.85)=3.0842009215416
ln(21.86)=3.0846584827484
ln(21.87)=3.0851158346887
ln(21.88)=3.0855729775538
ln(21.89)=3.0860299115348
ln(21.9)=3.0864866368225
ln(21.91)=3.0869431536074
ln(21.92)=3.0873994620798
ln(21.93)=3.0878555624298
ln(21.94)=3.0883114548471
ln(21.95)=3.0887671395212
ln(21.96)=3.0892226166413
ln(21.97)=3.0896778863965
ln(21.98)=3.0901329489755
ln(21.99)=3.0905878045667
ln(22)=3.0910424533583
ln(22.01)=3.0914968955384
ln(22.02)=3.0919511312945
ln(22.03)=3.0924051608143
ln(22.04)=3.0928589842847
ln(22.05)=3.0933126018929
ln(22.06)=3.0937660138254
ln(22.07)=3.0942192202686
ln(22.08)=3.0946722214089
ln(22.09)=3.095125017432
ln(22.1)=3.0955776085237
ln(22.11)=3.0960299948694
ln(22.12)=3.0964821766541
ln(22.13)=3.096934154063
ln(22.14)=3.0973859272805
ln(22.15)=3.0978374964911
ln(22.16)=3.0982888618791
ln(22.17)=3.0987400236282
ln(22.18)=3.0991909819222
ln(22.19)=3.0996417369445
ln(22.2)=3.1000922888782
ln(22.21)=3.1005426379063
ln(22.22)=3.1009927842115
ln(22.23)=3.1014427279761
ln(22.24)=3.1018924693824
ln(22.25)=3.1023420086123
ln(22.26)=3.1027913458474
ln(22.27)=3.1032404812693
ln(22.28)=3.1036894150591
ln(22.29)=3.1041381473978
ln(22.3)=3.1045866784661
ln(22.31)=3.1050350084444
ln(22.32)=3.1054831375131
ln(22.33)=3.1059310658521
ln(22.34)=3.1063787936411
ln(22.35)=3.1068263210596
ln(22.36)=3.1072736482869
ln(22.37)=3.107720775502
ln(22.38)=3.1081677028838
ln(22.39)=3.1086144306107
ln(22.4)=3.109060958861
ln(22.41)=3.1095072878128
ln(22.42)=3.109953417644
ln(22.43)=3.1103993485321
ln(22.44)=3.1108450806545
ln(22.45)=3.1112906141883
ln(22.46)=3.1117359493103
ln(22.47)=3.1121810861972
ln(22.48)=3.1126260250255
ln(22.49)=3.1130707659712
ln(22.5)=3.1135153092104

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