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Ln(40)

ln(40) is the natural logarithm of 40:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(40) = 3.6888794541139.

Calculate Ln 40

To solve the equation ln(40) = 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 = 40, a = e:
    ln(40) = log(40) / log(e)
  3. Evaluate the term:
    log(40) / log(e)
    = 3.6888794541139 / 1
    = 3.6888794541139
    = Natural logarithm of 40.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 3.6888794541139 = 40
  • e 3.6888794541139 = 40 is the exponential form of ln(40)
  • e is the logarithm base of ln(40)
  • 40 is the argument of ln(40)
  • 3.6888794541139 is the exponent or power of e 3.6888794541139 = 40
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

ln(40) = 3.6888794541139.
Carry out the change of base logarithm operation.
It means the logarithm of 40 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 3.6888794541139.
In exponential form is e 3.6888794541139 = 40.
ln of 40 = 3.6888794541139.

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, ln40 = 3.6888794541139.

You now know everything about the logarithm with base e, argument 40 and exponent 3.6888794541139.
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(40).

Table

Our quick conversion table is easy to use:
ln(x) Value
ln(39.5)=3.6763006719071
ln(39.51)=3.6765538044233
ln(39.52)=3.6768068728797
ln(39.53)=3.6770598773086
ln(39.54)=3.6773128177425
ln(39.55)=3.6775656942137
ln(39.56)=3.6778185067545
ln(39.57)=3.6780712553973
ln(39.58)=3.6783239401744
ln(39.59)=3.678576561118
ln(39.6)=3.6788291182604
ln(39.61)=3.6790816116338
ln(39.62)=3.6793340412704
ln(39.63)=3.6795864072023
ln(39.64)=3.6798387094618
ln(39.65)=3.6800909480809
ln(39.66)=3.6803431230916
ln(39.67)=3.6805952345262
ln(39.68)=3.6808472824167
ln(39.69)=3.681099266795
ln(39.7)=3.6813511876931
ln(39.71)=3.6816030451432
ln(39.72)=3.681854839177
ln(39.73)=3.6821065698265
ln(39.74)=3.6823582371237
ln(39.75)=3.6826098411003
ln(39.76)=3.6828613817884
ln(39.77)=3.6831128592196
ln(39.78)=3.6833642734258
ln(39.79)=3.6836156244388
ln(39.8)=3.6838669122904
ln(39.81)=3.6841181370122
ln(39.82)=3.684369298636
ln(39.83)=3.6846203971936
ln(39.84)=3.6848714327164
ln(39.85)=3.6851224052362
ln(39.86)=3.6853733147846
ln(39.87)=3.6856241613933
ln(39.88)=3.6858749450936
ln(39.89)=3.6861256659173
ln(39.9)=3.6863763238958
ln(39.91)=3.6866269190606
ln(39.92)=3.6868774514433
ln(39.93)=3.6871279210751
ln(39.94)=3.6873783279877
ln(39.95)=3.6876286722123
ln(39.96)=3.6878789537804
ln(39.97)=3.6881291727232
ln(39.98)=3.6883793290723
ln(39.99)=3.6886294228587
ln(40)=3.6888794541139
ln(40.01)=3.6891294228691
ln(40.02)=3.6893793291556
ln(40.03)=3.6896291730045
ln(40.04)=3.689878954447
ln(40.05)=3.6901286735144
ln(40.06)=3.6903783302377
ln(40.07)=3.6906279246481
ln(40.08)=3.6908774567766
ln(40.09)=3.6911269266544
ln(40.1)=3.6913763343125
ln(40.11)=3.691625679782
ln(40.12)=3.6918749630937
ln(40.13)=3.6921241842788
ln(40.14)=3.6923733433682
ln(40.15)=3.6926224403928
ln(40.16)=3.6928714753835
ln(40.17)=3.6931204483712
ln(40.18)=3.6933693593868
ln(40.19)=3.6936182084611
ln(40.2)=3.693866995625
ln(40.21)=3.6941157209092
ln(40.22)=3.6943643843445
ln(40.23)=3.6946129859617
ln(40.24)=3.6948615257915
ln(40.25)=3.6951100038646
ln(40.26)=3.6953584202116
ln(40.27)=3.6956067748634
ln(40.28)=3.6958550678504
ln(40.29)=3.6961032992033
ln(40.3)=3.6963514689526
ln(40.31)=3.6965995771291
ln(40.32)=3.6968476237631
ln(40.33)=3.6970956088853
ln(40.34)=3.6973435325261
ln(40.35)=3.697591394716
ln(40.36)=3.6978391954854
ln(40.37)=3.6980869348648
ln(40.38)=3.6983346128847
ln(40.39)=3.6985822295753
ln(40.4)=3.6988297849671
ln(40.41)=3.6990772790904
ln(40.42)=3.6993247119755
ln(40.43)=3.6995720836527
ln(40.44)=3.6998193941523
ln(40.45)=3.7000666435045
ln(40.46)=3.7003138317396
ln(40.47)=3.7005609588878
ln(40.48)=3.7008080249792
ln(40.49)=3.7010550300441
ln(40.5)=3.7013019741125
ln(40.51)=3.7015488572146

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