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Log 3 (1)

Log 3 (1) is the logarithm of 1 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (1) = 0.

Calculate Log Base 3 of 1

To solve the equation log 3 (1) = x carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 1, a = 3:
    log 3 (1) = log(1) / log(3)
  3. Evaluate the term:
    log(1) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 0
    = Logarithm of 1 with base 3
Here’s the logarithm of 3 to the base 1.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 0 = 1
  • 3 0 = 1 is the exponential form of log3 (1)
  • 3 is the logarithm base of log3 (1)
  • 1 is the argument of log3 (1)
  • 0 is the exponent or power of 3 0 = 1
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log3 1?

Log3 (1) = 0.

How do you find the value of log 31?

Carry out the change of base logarithm operation.

What does log 3 1 mean?

It means the logarithm of 1 with base 3.

How do you solve log base 3 1?

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

What is the log base 3 of 1?

The value is 0.

How do you write log 3 1 in exponential form?

In exponential form is 3 0 = 1.

What is log3 (1) equal to?

log base 3 of 1 = 0.

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, log base 3 of 1 = 0.

You now know everything about the logarithm with base 3, argument 1 and exponent 0.
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.
Thanks for visiting Log3 (1).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(0.5)=-0.63092975357146
log 3(0.51)=-0.6129046254162
log 3(0.52)=-0.59522952196306
log 3(0.53)=-0.5778911077043
log 3(0.54)=-0.56087679500731
log 3(0.55)=-0.5441746892167
log 3(0.56)=-0.52777353870297
log 3(0.57)=-0.51166268933239
log 3(0.58)=-0.49583204289665
log 3(0.59)=-0.48027201909606
log 3(0.6)=-0.46497352071793
log 3(0.61)=-0.44992790169318
log 3(0.62)=-0.4351269377503
log 3(0.63)=-0.42056279941735
log 3(0.64)=-0.40622802715002
log 3(0.65)=-0.39211550838805
log 3(0.66)=-0.37821845636317
log 3(0.67)=-0.36453039050076
log 3(0.68)=-0.35104511827329
log 3(0.69)=-0.3377567183785
log 3(0.7)=-0.32465952512796
log 3(0.71)=-0.3117481139429
log 3(0.72)=-0.2990172878644
log 3(0.73)=-0.28646206499404
log 3(0.74)=-0.27407766678904
log 3(0.75)=-0.26185950714291
log 3(0.76)=-0.24980318218948
log 3(0.77)=-0.23790446077321
log 3(0.78)=-0.22615927553452
log 3(0.79)=-0.21456371456289
log 3(0.8)=-0.20311401357501
log 3(0.81)=-0.19180654857877
log 3(0.82)=-0.18063782898736
log 3(0.83)=-0.16960449115073
log 3(0.84)=-0.15870329227443
log 3(0.85)=-0.14793110469828
log 3(0.86)=-0.13728491050963
log 3(0.87)=-0.12676179646811
log 3(0.88)=-0.11635894922026
log 3(0.89)=-0.10607365078469
log 3(0.9)=-0.095903274289384
log 3(0.91)=-0.085845279944554
log 3(0.92)=-0.075897211235583
log 3(0.93)=-0.066056691321754
log 3(0.94)=-0.056321419627575
log 3(0.95)=-0.046689168614466
log 3(0.96)=-0.037157780721482
log 3(0.97)=-0.027725165464547
log 3(0.98)=-0.018389296684467
log 3(0.99)=-0.0091482099346307
log 3(1)=4.0422741892724E-16
log 3(1.01)=0.0090571814604693
log 3(1.02)=0.018025128155255
log 3(1.03)=0.026905581292359
log 3(1.04)=0.035700231608396
log 3(1.05)=0.044410721300581
log 3(1.06)=0.053038645867158
log 3(1.07)=0.061585555861423
log 3(1.08)=0.070052958564146
log 3(1.09)=0.078442319578938
log 3(1.1)=0.086755064354754
log 3(1.11)=0.094992579639504
log 3(1.12)=0.10315621486848
log 3(1.13)=0.11124728349108
log 3(1.14)=0.11926706423906
log 3(1.15)=0.12721680233943
log 3(1.16)=0.13509771067481
log 3(1.17)=0.14291097089402
log 3(1.18)=0.1506577344754
log 3(1.19)=0.15833912374522
log 3(1.2)=0.16595623285353
log 3(1.21)=0.17351012870951
log 3(1.22)=0.18100185187828
log 3(1.23)=0.18843241744119
log 3(1.24)=0.19580281582116
log 3(1.25)=0.20311401357501
log 3(1.26)=0.21036695415411
log 3(1.27)=0.21756255863501
log 3(1.28)=0.22470172642143
log 3(1.29)=0.23178533591891
log 3(1.3)=0.23881424518341
log 3(1.31)=0.24578929254508
log 3(1.32)=0.25271129720828
log 3(1.33)=0.25958105982903
log 3(1.34)=0.26639936307069
log 3(1.35)=0.27316697213916
log 3(1.36)=0.27988463529817
log 3(1.37)=0.28655308436582
log 3(1.38)=0.29317303519296
log 3(1.39)=0.2997451881244
log 3(1.4)=0.3062702284435
log 3(1.41)=0.31274882680097
log 3(1.42)=0.31918163962856
log 3(1.43)=0.32556930953816
log 3(1.44)=0.33191246570706
log 3(1.45)=0.33821172424982
log 3(1.46)=0.34446768857741
log 3(1.47)=0.35068094974408
log 3(1.48)=0.35685208678242
log 3(1.49)=0.36298166702725
log 3(1.5)=0.36907024642854

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