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Ln(15)

ln(15) is the natural logarithm of 15:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, ln(15) = 2.7080502011022.

Calculate Ln 15

To solve the equation ln(15) = 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 = 15, a = e:
    ln(15) = log(15) / log(e)
  3. Evaluate the term:
    log(15) / log(e)
    = 2.7080502011022 / 1
    = 2.7080502011022
    = Natural logarithm of 15.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 2.7080502011022 = 15
  • e 2.7080502011022 = 15 is the exponential form of ln(15)
  • e is the logarithm base of ln(15)
  • 15 is the argument of ln(15)
  • 2.7080502011022 is the exponent or power of e 2.7080502011022 = 15
BTW: Logarithmic equations have many uses in various contexts in science.

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FAQs

ln(15) = 2.7080502011022.
Carry out the change of base logarithm operation.
It means the logarithm of 15 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 2.7080502011022.
In exponential form is e 2.7080502011022 = 15.
ln of 15 = 2.7080502011022.

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, ln15 = 2.7080502011022.

You now know everything about the logarithm with base e, argument 15 and exponent 2.7080502011022.
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(14.5)=2.6741486494265
ln(14.51)=2.6748380668961
ln(14.52)=2.6755270093966
ln(14.53)=2.6762154775822
ln(14.54)=2.6769034721054
ln(14.55)=2.6775909936175
ln(14.56)=2.6782780427685
ln(14.57)=2.6789646202071
ln(14.58)=2.6796507265805
ln(14.59)=2.6803363625347
ln(14.6)=2.6810215287143
ln(14.61)=2.6817062257626
ln(14.62)=2.6823904543216
ln(14.63)=2.683074215032
ln(14.64)=2.6837575085332
ln(14.65)=2.6844403354631
ln(14.66)=2.6851226964585
ln(14.67)=2.6858045921549
ln(14.68)=2.6864860231864
ln(14.69)=2.6871669901858
ln(14.7)=2.6878474937847
ln(14.71)=2.6885275346133
ln(14.72)=2.6892071133007
ln(14.73)=2.6898862304745
ln(14.74)=2.6905648867612
ln(14.75)=2.6912430827858
ln(14.76)=2.6919208191723
ln(14.77)=2.6925980965433
ln(14.78)=2.6932749155201
ln(14.79)=2.6939512767227
ln(14.8)=2.6946271807701
ln(14.81)=2.6953026282797
ln(14.82)=2.6959776198679
ln(14.83)=2.6966521561498
ln(14.84)=2.6973262377392
ln(14.85)=2.6979998652487
ln(14.86)=2.6986730392896
ln(14.87)=2.6993457604721
ln(14.88)=2.7000180294049
ln(14.89)=2.7006898466959
ln(14.9)=2.7013612129514
ln(14.91)=2.7020321287766
ln(14.92)=2.7027025947756
ln(14.93)=2.7033726115511
ln(14.94)=2.7040421797047
ln(14.95)=2.7047112998367
ln(14.96)=2.7053799725463
ln(14.97)=2.7060481984315
ln(14.98)=2.7067159780891
ln(14.99)=2.7073833121145
ln(15)=2.7080502011022
ln(15.01)=2.7087166456454
ln(15.02)=2.709382646336
ln(15.03)=2.7100482037649
ln(15.04)=2.7107133185217
ln(15.05)=2.7113779911949
ln(15.06)=2.7120422223717
ln(15.07)=2.7127060126384
ln(15.08)=2.7133693625798
ln(15.09)=2.7140322727798
ln(15.1)=2.7146947438209
ln(15.11)=2.7153567762846
ln(15.12)=2.7160183707514
ln(15.13)=2.7166795278003
ln(15.14)=2.7173402480093
ln(15.15)=2.7180005319554
ln(15.16)=2.7186603802142
ln(15.17)=2.7193197933604
ln(15.18)=2.7199787719675
ln(15.19)=2.7206373166077
ln(15.2)=2.7212954278522
ln(15.21)=2.7219531062712
ln(15.22)=2.7226103524335
ln(15.23)=2.7232671669071
ln(15.24)=2.7239235502585
ln(15.25)=2.7245795030534
ln(15.26)=2.7252350258563
ln(15.27)=2.7258901192305
ln(15.28)=2.7265447837384
ln(15.29)=2.727199019941
ln(15.3)=2.7278528283984
ln(15.31)=2.7285062096696
ln(15.32)=2.7291591643124
ln(15.33)=2.7298116928837
ln(15.34)=2.7304637959391
ln(15.35)=2.7311154740332
ln(15.36)=2.7317667277195
ln(15.37)=2.7324175575505
ln(15.38)=2.7330679640775
ln(15.39)=2.7337179478508
ln(15.4)=2.7343675094196
ln(15.41)=2.735016649332
ln(15.42)=2.7356653681352
ln(15.43)=2.7363136663751
ln(15.44)=2.7369615445966
ln(15.45)=2.7376090033438
ln(15.46)=2.7382560431593
ln(15.47)=2.738902664585
ln(15.48)=2.7395488681616
ln(15.49)=2.7401946544288
ln(15.5)=2.7408400239252
ln(15.51)=2.7414849771884

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