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Ln(3)

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ln(3) is the natural logarithm of 3:

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Result:
Simply the Best Logarithm Calculator! Click To TweetAs you can see in our log calculator, ln(3) = 1.0986122887.

Calculate Ln 3

To solve the equation ln(3) = x carry out the following steps.
  1. Apply the change of base rule:
    ln (x) = logb (x) / logb (a)
    With b = 10:
    loga (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 3, a = e:
    ln(3) = log(3) / log(e)
  3. Evaluate the term:
    log(3) / log(e)
    = 1.09861228866811 / 1
    = 1.0986122887
    = Natural logarithm of 3.

Additional Information

  • From the definition of logarithm by = x ⇔ y = logb(x) follows that e1.0986122887 = 3
  • e1.0986122887 = 3 is the exponential form of ln(3)
  • e is the logarithm base of ln(3)
  • 3 is the argument of ln(3)
  • 1.0986122887 is the exponent or power of e1.0986122887 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

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FAQs

What is the value of ln 3?

ln(3) = 1.0986122887.

How do you find the value of ln3?

Carry out the change of base logarithm operation.

What does ln 3 mean?

It means the logarithm of 3 with base e.

How do you solve ln 3?

Apply the change of base rule, substitute the variables, and evaluate the term.

What is the log base e of 3?

The value is 1.0986122887.

How do you write ln 3 in exponential form?

In exponential form is e1.0986122887 = 3.

What is ln(3) equal to?

ln of 3 = 1.0986122887.

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, ln3 = 1.0986122887.

You now know everything about the logarithm with base e, argument 3 and exponent 1.0986122887.
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(2.5)=0.9162907319
ln(2.51)=0.9202827531
ln(2.52)=0.9242589015
ln(2.53)=0.9282193027
ln(2.54)=0.932164081
ln(2.55)=0.9360933592
ln(2.56)=0.9400072585
ln(2.57)=0.9439058989
ln(2.58)=0.9477893989
ln(2.59)=0.9516578757
ln(2.6)=0.955511445
ln(2.61)=0.9593502213
ln(2.62)=0.9631743178
ln(2.63)=0.9669838462
ln(2.64)=0.9707789172
ln(2.65)=0.97455964
ln(2.66)=0.9783261228
ln(2.67)=0.9820784724
ln(2.68)=0.9858167945
ln(2.69)=0.9895411936
ln(2.7)=0.993251773
ln(2.71)=0.9969486349
ln(2.72)=1.0006318803
ln(2.73)=1.0043016092
ln(2.74)=1.0079579204
ln(2.75)=1.0116009117
ln(2.76)=1.0152306797
ln(2.77)=1.0188473202
ln(2.78)=1.0224509277
ln(2.79)=1.0260415958
ln(2.8)=1.0296194172
ln(2.81)=1.0331844833
ln(2.82)=1.036736885
ln(2.83)=1.0402767117
ln(2.84)=1.0438040522
ln(2.85)=1.0473189943
ln(2.86)=1.0508216248
ln(2.87)=1.0543120298
ln(2.88)=1.0577902941
ln(2.89)=1.0612565021
ln(2.9)=1.064710737
ln(2.91)=1.0681530812
ln(2.92)=1.0715836163
ln(2.93)=1.075002423
ln(2.94)=1.0784095814
ln(2.95)=1.0818051704
ln(2.96)=1.0851892683
ln(2.97)=1.0885619528
ln(2.98)=1.0919233005
ln(2.99)=1.0952733874
ln(3)=1.0986122887
ln(3.01)=1.1019400788
ln(3.02)=1.1052568314
ln(3.03)=1.1085626195
ln(3.04)=1.1118575154
ln(3.05)=1.1151415906
ln(3.06)=1.118414916
ln(3.07)=1.1216775616
ln(3.08)=1.124929597
ln(3.09)=1.1281710909
ln(3.1)=1.1314021115
ln(3.11)=1.1346227262
ln(3.12)=1.1378330018
ln(3.13)=1.1410330046
ln(3.14)=1.1442227999
ln(3.15)=1.1474024528
ln(3.16)=1.1505720276
ln(3.17)=1.1537315879
ln(3.18)=1.1568811968
ln(3.19)=1.1600209168
ln(3.2)=1.1631508098
ln(3.21)=1.1662709371
ln(3.22)=1.1693813596
ln(3.23)=1.1724821372
ln(3.24)=1.1755733298
ln(3.25)=1.1786549963
ln(3.26)=1.1817271954
ln(3.27)=1.1847899849
ln(3.28)=1.1878434224
ln(3.29)=1.1908875648
ln(3.3)=1.1939224685
ln(3.31)=1.1969481894
ln(3.32)=1.1999647829
ln(3.33)=1.202972304
ln(3.34)=1.205970807
ln(3.35)=1.2089603458
ln(3.36)=1.211940974
ln(3.37)=1.2149127444
ln(3.38)=1.2178757095
ln(3.39)=1.2208299214
ln(3.4)=1.2237754316
ln(3.41)=1.2267122913
ln(3.42)=1.2296405511
ln(3.43)=1.2325602612
ln(3.44)=1.2354714714
ln(3.45)=1.238374231
ln(3.46)=1.2412685891
ln(3.47)=1.244154594
ln(3.48)=1.2470322938
ln(3.49)=1.2499017362
ln(3.5)=1.2527629685