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# Ln(3)

ln(3) is the natural logarithm of 3:

## Calculator

log

Result:
As you can see in our log calculator, ln(3) = 1.0986122886681.

## Calculate Ln 3

To solve the equation ln(3) = 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 = 3, a = e:
ln(3) = log(3) / log(e)
3. Evaluate the term:
log(3) / log(e)
= 1.0986122886681 / 1
= 1.0986122886681
= Natural logarithm of 3.

• From the definition of logarithm b y = x ⇔ y = log b(x) follows that e 1.0986122886681 = 3
• e 1.0986122886681 = 3 is the exponential form of ln(3)
• e is the logarithm base of ln(3)
• 3 is the argument of ln(3)
• 1.0986122886681 is the exponent or power of e 1.0986122886681 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## FAQs

ln(3) = 1.0986122886681.
Carry out the change of base logarithm operation.
It means the logarithm of 3 with base e.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.0986122886681.
In exponential form is e 1.0986122886681 = 3.
ln of 3 = 1.0986122886681.

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 = 1.0986122886681.

You now know everything about the logarithm with base e, argument 3 and exponent 1.0986122886681.
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)=0.91629073187416
ln(2.51)=0.92028275314369
ln(2.52)=0.92425890152333
ln(2.53)=0.92821930273943
ln(2.54)=0.93216408103044
ln(2.55)=0.93609335917033
ln(2.56)=0.94000725849147
ln(2.57)=0.94390589890713
ln(2.58)=0.94778939893353
ln(2.59)=0.95165787571145
ln(2.6)=0.95551144502744
ln(2.61)=0.9593502213346
ln(2.62)=0.963174317773
ln(2.63)=0.96698384618967
ln(2.64)=0.97077891715822
ln(2.65)=0.97455963999813
ln(2.66)=0.97832612279361
ln(2.67)=0.98207847241216
ln(2.68)=0.98581679452276
ln(2.69)=0.98954119361375
ln(2.7)=0.99325177301028
ln(2.71)=0.99694863489161
ln(2.72)=1.0006318803079
ln(2.73)=1.0043016091969
ln(2.74)=1.0079579204
ln(2.75)=1.0116009116785
ln(2.76)=1.0152306797291
ln(2.77)=1.0188473201992
ln(2.78)=1.0224509277025
ln(2.79)=1.0260415958333
ln(2.8)=1.0296194171812
ln(2.81)=1.0331844833457
ln(2.82)=1.03673688495
ln(2.83)=1.0402767116551
ln(2.84)=1.0438040521731
ln(2.85)=1.0473189942806
ln(2.86)=1.0508216248318
ln(2.87)=1.0543120297715
ln(2.88)=1.0577902941479
ln(2.89)=1.0612565021243
ln(2.9)=1.0647107369924
ln(2.91)=1.0681530811834
ln(2.92)=1.0715836162802
ln(2.93)=1.075002423029
ln(2.94)=1.0784095813506
ln(2.95)=1.0818051703517
ln(2.96)=1.085189268336
ln(2.97)=1.0885619528146
ln(2.98)=1.0919233005173
ln(2.99)=1.0952733874026
ln(3)=1.0986122886681
ln(3.01)=1.1019400787608
ln(3.02)=1.1052568313868
ln(3.03)=1.1085626195213
ln(3.04)=1.1118575154181
ln(3.05)=1.1151415906193
ln(3.06)=1.1184149159643
ln(3.07)=1.1216775615991
ln(3.08)=1.1249295969855
ln(3.09)=1.1281710909097
ln(3.1)=1.1314021114911
ln(3.11)=1.1346227261911
ln(3.12)=1.1378330018214
ln(3.13)=1.1410330045521
ln(3.14)=1.1442227999202
ln(3.15)=1.1474024528375
ln(3.16)=1.1505720275988
ln(3.17)=1.1537315878892
ln(3.18)=1.1568811967921
ln(3.19)=1.1600209167967
ln(3.2)=1.1631508098057
ln(3.21)=1.1662709371419
ln(3.22)=1.1693813595563
ln(3.23)=1.1724821372346
ln(3.24)=1.1755733298042
ln(3.25)=1.1786549963416
ln(3.26)=1.1817271953786
ln(3.27)=1.1847899849092
ln(3.28)=1.187843422396
ln(3.29)=1.1908875647773
ln(3.3)=1.1939224684724
ln(3.31)=1.196948189389
ln(3.32)=1.1999647829284
ln(3.33)=1.2029723039923
ln(3.34)=1.2059708069886
ln(3.35)=1.208960345837
ln(3.36)=1.2119409739751
ln(3.37)=1.2149127443643
ln(3.38)=1.2178757094949
ln(3.39)=1.2208299213924
ln(3.4)=1.2237754316221
ln(3.41)=1.2267122912954
ln(3.42)=1.2296405510745
ln(3.43)=1.2325602611778
ln(3.44)=1.2354714713853
ln(3.45)=1.2383742310433
ln(3.46)=1.2412685890696
ln(3.47)=1.2441545939588
ln(3.48)=1.2470322937864
ln(3.49)=1.2499017362143
ln(3.5)=1.2527629684954
ln(3.51)=1.2556160374778
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