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Log 3 (138)

Log 3 (138) is the logarithm of 138 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 (138) = 4.4849795837717.

Calculate Log Base 3 of 138

To solve the equation log 3 (138) = 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 = 138, a = 3:
    log 3 (138) = log(138) / log(3)
  3. Evaluate the term:
    log(138) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.4849795837717
    = Logarithm of 138 with base 3
Here’s the logarithm of 3 to the base 138.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.4849795837717 = 138
  • 3 4.4849795837717 = 138 is the exponential form of log3 (138)
  • 3 is the logarithm base of log3 (138)
  • 138 is the argument of log3 (138)
  • 4.4849795837717 is the exponent or power of 3 4.4849795837717 = 138
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 138?

Log3 (138) = 4.4849795837717.

How do you find the value of log 3138?

Carry out the change of base logarithm operation.

What does log 3 138 mean?

It means the logarithm of 138 with base 3.

How do you solve log base 3 138?

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

What is the log base 3 of 138?

The value is 4.4849795837717.

How do you write log 3 138 in exponential form?

In exponential form is 3 4.4849795837717 = 138.

What is log3 (138) equal to?

log base 3 of 138 = 4.4849795837717.
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 138 = 4.4849795837717.

You now know everything about the logarithm with base 3, argument 138 and exponent 4.4849795837717.
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 (138).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(137.5)=4.4816756265085
log 3(137.51)=4.4817418233179
log 3(137.52)=4.4818080153135
log 3(137.53)=4.4818742024959
log 3(137.54)=4.481940384866
log 3(137.55)=4.4820065624244
log 3(137.56)=4.4820727351718
log 3(137.57)=4.482138903109
log 3(137.58)=4.4822050662365
log 3(137.59)=4.4822712245551
log 3(137.6)=4.4823373780656
log 3(137.61)=4.4824035267685
log 3(137.62)=4.4824696706647
log 3(137.63)=4.4825358097548
log 3(137.64)=4.4826019440394
log 3(137.65)=4.4826680735194
log 3(137.66)=4.4827341981954
log 3(137.67)=4.482800318068
log 3(137.68)=4.4828664331381
log 3(137.69)=4.4829325434062
log 3(137.7)=4.4829986488732
log 3(137.71)=4.4830647495396
log 3(137.72)=4.4831308454062
log 3(137.73)=4.4831969364737
log 3(137.74)=4.4832630227428
log 3(137.75)=4.4833291042141
log 3(137.76)=4.4833951808884
log 3(137.77)=4.4834612527664
log 3(137.78)=4.4835273198488
log 3(137.79)=4.4835933821362
log 3(137.8)=4.4836594396293
log 3(137.81)=4.4837254923289
log 3(137.82)=4.4837915402357
log 3(137.83)=4.4838575833503
log 3(137.84)=4.4839236216735
log 3(137.85)=4.4839896552058
log 3(137.86)=4.4840556839481
log 3(137.87)=4.4841217079011
log 3(137.88)=4.4841877270653
log 3(137.89)=4.4842537414416
log 3(137.9)=4.4843197510305
log 3(137.91)=4.4843857558329
log 3(137.92)=4.4844517558494
log 3(137.93)=4.4845177510806
log 3(137.94)=4.4845837415273
log 3(137.95)=4.4846497271902
log 3(137.96)=4.48471570807
log 3(137.97)=4.4847816841674
log 3(137.98)=4.484847655483
log 3(137.99)=4.4849136220175
log 3(138)=4.4849795837717
log 3(138.01)=4.4850455407463
log 3(138.02)=4.4851114929418
log 3(138.03)=4.4851774403591
log 3(138.04)=4.4852433829988
log 3(138.05)=4.4853093208616
log 3(138.06)=4.4853752539482
log 3(138.07)=4.4854411822593
log 3(138.08)=4.4855071057955
log 3(138.09)=4.4855730245577
log 3(138.1)=4.4856389385464
log 3(138.11)=4.4857048477624
log 3(138.12)=4.4857707522063
log 3(138.13)=4.4858366518788
log 3(138.14)=4.4859025467807
log 3(138.15)=4.4859684369126
log 3(138.16)=4.4860343222752
log 3(138.17)=4.4861002028692
log 3(138.18)=4.4861660786953
log 3(138.19)=4.4862319497541
log 3(138.2)=4.4862978160465
log 3(138.21)=4.486363677573
log 3(138.22)=4.4864295343343
log 3(138.23)=4.4864953863312
log 3(138.24)=4.4865612335643
log 3(138.25)=4.4866270760344
log 3(138.26)=4.486692913742
log 3(138.27)=4.486758746688
log 3(138.28)=4.4868245748729
log 3(138.29)=4.4868903982975
log 3(138.3)=4.4869562169624
log 3(138.31)=4.4870220308684
log 3(138.32)=4.4870878400162
log 3(138.33)=4.4871536444064
log 3(138.34)=4.4872194440396
log 3(138.35)=4.4872852389167
log 3(138.36)=4.4873510290383
log 3(138.37)=4.487416814405
log 3(138.38)=4.4874825950177
log 3(138.39)=4.4875483708768
log 3(138.4)=4.4876141419832
log 3(138.41)=4.4876799083375
log 3(138.42)=4.4877456699405
log 3(138.43)=4.4878114267927
log 3(138.44)=4.4878771788949
log 3(138.45)=4.4879429262478
log 3(138.46)=4.4880086688521
log 3(138.47)=4.4880744067083
log 3(138.48)=4.4881401398173
log 3(138.49)=4.4882058681798
log 3(138.5)=4.4882715917963
log 3(138.51)=4.4883373106676

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