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Log 3 (137)

Log 3 (137) is the logarithm of 137 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 (137) = 4.4783596329446.

Calculate Log Base 3 of 137

To solve the equation log 3 (137) = 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 = 137, a = 3:
    log 3 (137) = log(137) / log(3)
  3. Evaluate the term:
    log(137) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.4783596329446
    = Logarithm of 137 with base 3
Here’s the logarithm of 3 to the base 137.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.4783596329446 = 137
  • 3 4.4783596329446 = 137 is the exponential form of log3 (137)
  • 3 is the logarithm base of log3 (137)
  • 137 is the argument of log3 (137)
  • 4.4783596329446 is the exponent or power of 3 4.4783596329446 = 137
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 137?

Log3 (137) = 4.4783596329446.

How do you find the value of log 3137?

Carry out the change of base logarithm operation.

What does log 3 137 mean?

It means the logarithm of 137 with base 3.

How do you solve log base 3 137?

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

What is the log base 3 of 137?

The value is 4.4783596329446.

How do you write log 3 137 in exponential form?

In exponential form is 3 4.4783596329446 = 137.

What is log3 (137) equal to?

log base 3 of 137 = 4.4783596329446.
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 137 = 4.4783596329446.

You now know everything about the logarithm with base 3, argument 137 and exponent 4.4783596329446.
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 (137).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(136.5)=4.4750315150628
log 3(136.51)=4.4750981968127
log 3(136.52)=4.475164873678
log 3(136.53)=4.4752315456595
log 3(136.54)=4.4752982127578
log 3(136.55)=4.4753648749737
log 3(136.56)=4.4754315323079
log 3(136.57)=4.4754981847611
log 3(136.58)=4.475564832334
log 3(136.59)=4.4756314750273
log 3(136.6)=4.4756981128418
log 3(136.61)=4.4757647457782
log 3(136.62)=4.4758313738371
log 3(136.63)=4.4758979970193
log 3(136.64)=4.4759646153255
log 3(136.65)=4.4760312287565
log 3(136.66)=4.4760978373128
log 3(136.67)=4.4761644409953
log 3(136.68)=4.4762310398047
log 3(136.69)=4.4762976337417
log 3(136.7)=4.4763642228069
log 3(136.71)=4.4764308070011
log 3(136.72)=4.476497386325
log 3(136.73)=4.4765639607794
log 3(136.74)=4.4766305303648
log 3(136.75)=4.4766970950822
log 3(136.76)=4.476763654932
log 3(136.77)=4.4768302099152
log 3(136.78)=4.4768967600323
log 3(136.79)=4.4769633052841
log 3(136.8)=4.4770298456714
log 3(136.81)=4.4770963811947
log 3(136.82)=4.4771629118549
log 3(136.83)=4.4772294376526
log 3(136.84)=4.4772959585885
log 3(136.85)=4.4773624746634
log 3(136.86)=4.477428985878
log 3(136.87)=4.4774954922329
log 3(136.88)=4.477561993729
log 3(136.89)=4.4776284903668
log 3(136.9)=4.4776949821472
log 3(136.91)=4.4777614690707
log 3(136.92)=4.4778279511382
log 3(136.93)=4.4778944283503
log 3(136.94)=4.4779609007078
log 3(136.95)=4.4780273682113
log 3(136.96)=4.4780938308616
log 3(136.97)=4.4781602886594
log 3(136.98)=4.4782267416053
log 3(136.99)=4.4782931897002
log 3(137)=4.4783596329446
log 3(137.01)=4.4784260713393
log 3(137.02)=4.4784925048851
log 3(137.03)=4.4785589335825
log 3(137.04)=4.4786253574324
log 3(137.05)=4.4786917764354
log 3(137.06)=4.4787581905923
log 3(137.07)=4.4788245999037
log 3(137.08)=4.4788910043704
log 3(137.09)=4.4789574039931
log 3(137.1)=4.4790237987724
log 3(137.11)=4.4790901887091
log 3(137.12)=4.4791565738039
log 3(137.13)=4.4792229540574
log 3(137.14)=4.4792893294705
log 3(137.15)=4.4793557000438
log 3(137.16)=4.4794220657779
log 3(137.17)=4.4794884266737
log 3(137.18)=4.4795547827318
log 3(137.19)=4.4796211339529
log 3(137.2)=4.4796874803378
log 3(137.21)=4.4797538218871
log 3(137.22)=4.4798201586015
log 3(137.23)=4.4798864904818
log 3(137.24)=4.4799528175286
log 3(137.25)=4.4800191397427
log 3(137.26)=4.4800854571247
log 3(137.27)=4.4801517696754
log 3(137.28)=4.4802180773954
log 3(137.29)=4.4802843802856
log 3(137.3)=4.4803506783465
log 3(137.31)=4.4804169715788
log 3(137.32)=4.4804832599834
log 3(137.33)=4.4805495435608
log 3(137.34)=4.4806158223118
log 3(137.35)=4.4806820962371
log 3(137.36)=4.4807483653374
log 3(137.37)=4.4808146296134
log 3(137.38)=4.4808808890658
log 3(137.39)=4.4809471436952
log 3(137.4)=4.4810133935025
log 3(137.41)=4.4810796384883
log 3(137.42)=4.4811458786533
log 3(137.43)=4.4812121139981
log 3(137.44)=4.4812783445236
log 3(137.45)=4.4813445702304
log 3(137.46)=4.4814107911192
log 3(137.47)=4.4814770071907
log 3(137.48)=4.4815432184457
log 3(137.49)=4.4816094248847
log 3(137.5)=4.4816756265085
log 3(137.51)=4.4817418233179

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