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Ln(42)

ln(42) is the natural logarithm of 42:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(42) = 3.7376696182834.

Calculate Ln 42

To solve the equation ln(42) = 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 = 42, a = e:
    ln(42) = log(42) / log(e)
  3. Evaluate the term:
    log(42) / log(e)
    = 3.7376696182834 / 1
    = 3.7376696182834
    = Natural logarithm of 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 3.7376696182834 = 42
  • e 3.7376696182834 = 42 is the exponential form of ln(42)
  • e is the logarithm base of ln(42)
  • 42 is the argument of ln(42)
  • 3.7376696182834 is the exponent or power of e 3.7376696182834 = 42
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(42) = 3.7376696182834.
Carry out the change of base logarithm operation.
It means the logarithm of 42 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 3.7376696182834.
In exponential form is e 3.7376696182834 = 42.
ln of 42 = 3.7376696182834.

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, ln42 = 3.7376696182834.

You now know everything about the logarithm with base e, argument 42 and exponent 3.7376696182834.
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(41.5)=3.7256934272367
ln(41.51)=3.7259343620649
ln(41.52)=3.7261752388576
ln(41.53)=3.7264160576427
ln(41.54)=3.726656818448
ln(41.55)=3.7268975213015
ln(41.56)=3.727138166231
ln(41.57)=3.7273787532645
ln(41.58)=3.7276192824299
ln(41.59)=3.7278597537548
ln(41.6)=3.7281001672672
ln(41.61)=3.7283405229948
ln(41.62)=3.7285808209655
ln(41.63)=3.7288210612069
ln(41.64)=3.7290612437468
ln(41.65)=3.7293013686129
ln(41.66)=3.7295414358328
ln(41.67)=3.7297814454344
ln(41.68)=3.7300213974451
ln(41.69)=3.7302612918927
ln(41.7)=3.7305011288048
ln(41.71)=3.7307409082089
ln(41.72)=3.7309806301326
ln(41.73)=3.7312202946035
ln(41.74)=3.7314599016491
ln(41.75)=3.7316994512969
ln(41.76)=3.7319389435744
ln(41.77)=3.7321783785091
ln(41.78)=3.7324177561284
ln(41.79)=3.7326570764598
ln(41.8)=3.7328963395307
ln(41.81)=3.7331355453685
ln(41.82)=3.7333746940005
ln(41.83)=3.7336137854541
ln(41.84)=3.7338528197567
ln(41.85)=3.7340917969355
ln(41.86)=3.7343307170179
ln(41.87)=3.7345695800311
ln(41.88)=3.7348083860023
ln(41.89)=3.7350471349589
ln(41.9)=3.7352858269281
ln(41.91)=3.735524461937
ln(41.92)=3.7357630400128
ln(41.93)=3.7360015611827
ln(41.94)=3.7362400254738
ln(41.95)=3.7364784329132
ln(41.96)=3.7367167835281
ln(41.97)=3.7369550773455
ln(41.98)=3.7371933143925
ln(41.99)=3.7374314946961
ln(42)=3.7376696182834
ln(42.01)=3.7379076851813
ln(42.02)=3.7381456954169
ln(42.03)=3.738383649017
ln(42.04)=3.7386215460087
ln(42.05)=3.738859386419
ln(42.06)=3.7390971702746
ln(42.07)=3.7393348976024
ln(42.08)=3.7395725684295
ln(42.09)=3.7398101827825
ln(42.1)=3.7400477406883
ln(42.11)=3.7402852421738
ln(42.12)=3.7405226872658
ln(42.13)=3.7407600759909
ln(42.14)=3.740997408376
ln(42.15)=3.7412346844479
ln(42.16)=3.7414719042331
ln(42.17)=3.7417090677585
ln(42.18)=3.7419461750506
ln(42.19)=3.7421832261362
ln(42.2)=3.742420221042
ln(42.21)=3.7426571597944
ln(42.22)=3.7428940424202
ln(42.23)=3.7431308689458
ln(42.24)=3.743367639398
ln(42.25)=3.7436043538032
ln(42.26)=3.7438410121879
ln(42.27)=3.7440776145787
ln(42.28)=3.744314161002
ln(42.29)=3.7445506514844
ln(42.3)=3.7447870860522
ln(42.31)=3.745023464732
ln(42.32)=3.74525978755
ln(42.33)=3.7454960545328
ln(42.34)=3.7457322657067
ln(42.35)=3.7459684210981
ln(42.36)=3.7462045207332
ln(42.37)=3.7464405646385
ln(42.38)=3.7466765528401
ln(42.39)=3.7469124853645
ln(42.4)=3.7471483622379
ln(42.41)=3.7473841834865
ln(42.42)=3.7476199491365
ln(42.43)=3.7478556592142
ln(42.44)=3.7480913137458
ln(42.45)=3.7483269127574
ln(42.46)=3.7485624562751
ln(42.47)=3.7487979443252
ln(42.48)=3.7490333769337
ln(42.49)=3.7492687541267
ln(42.5)=3.7495040759304
ln(42.51)=3.7497393423707

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