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Log 3 (46)

Log 3 (46) is the logarithm of 46 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 (46) = 3.4849795837717.

Calculate Log Base 3 of 46

To solve the equation log 3 (46) = 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 = 46, a = 3:
    log 3 (46) = log(46) / log(3)
  3. Evaluate the term:
    log(46) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.4849795837717
    = Logarithm of 46 with base 3
Here’s the logarithm of 3 to the base 46.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.4849795837717 = 46
  • 3 3.4849795837717 = 46 is the exponential form of log3 (46)
  • 3 is the logarithm base of log3 (46)
  • 46 is the argument of log3 (46)
  • 3.4849795837717 is the exponent or power of 3 3.4849795837717 = 46
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 46?

Log3 (46) = 3.4849795837717.

How do you find the value of log 346?

Carry out the change of base logarithm operation.

What does log 3 46 mean?

It means the logarithm of 46 with base 3.

How do you solve log base 3 46?

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

What is the log base 3 of 46?

The value is 3.4849795837717.

How do you write log 3 46 in exponential form?

In exponential form is 3 3.4849795837717 = 46.

What is log3 (46) equal to?

log base 3 of 46 = 3.4849795837717.
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 46 = 3.4849795837717.

You now know everything about the logarithm with base 3, argument 46 and exponent 3.4849795837717.
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 (46).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(45.5)=3.4750315150628
log 3(45.51)=3.4752315456595
log 3(45.52)=3.4754315323079
log 3(45.53)=3.4756314750273
log 3(45.54)=3.4758313738371
log 3(45.55)=3.4760312287565
log 3(45.56)=3.4762310398047
log 3(45.57)=3.4764308070011
log 3(45.58)=3.4766305303648
log 3(45.59)=3.4768302099152
log 3(45.6)=3.4770298456714
log 3(45.61)=3.4772294376526
log 3(45.62)=3.477428985878
log 3(45.63)=3.4776284903668
log 3(45.64)=3.4778279511382
log 3(45.65)=3.4780273682113
log 3(45.66)=3.4782267416053
log 3(45.67)=3.4784260713393
log 3(45.68)=3.4786253574324
log 3(45.69)=3.4788245999037
log 3(45.7)=3.4790237987724
log 3(45.71)=3.4792229540574
log 3(45.72)=3.4794220657779
log 3(45.73)=3.4796211339529
log 3(45.74)=3.4798201586015
log 3(45.75)=3.4800191397427
log 3(45.76)=3.4802180773954
log 3(45.77)=3.4804169715788
log 3(45.78)=3.4806158223118
log 3(45.79)=3.4808146296134
log 3(45.8)=3.4810133935025
log 3(45.81)=3.4812121139981
log 3(45.82)=3.4814107911192
log 3(45.83)=3.4816094248847
log 3(45.84)=3.4818080153135
log 3(45.85)=3.4820065624244
log 3(45.86)=3.4822050662365
log 3(45.87)=3.4824035267685
log 3(45.88)=3.4826019440394
log 3(45.89)=3.482800318068
log 3(45.9)=3.4829986488732
log 3(45.91)=3.4831969364737
log 3(45.92)=3.4833951808884
log 3(45.93)=3.4835933821362
log 3(45.94)=3.4837915402357
log 3(45.95)=3.4839896552058
log 3(45.96)=3.4841877270653
log 3(45.97)=3.4843857558329
log 3(45.98)=3.4845837415273
log 3(45.99)=3.4847816841674
log 3(46)=3.4849795837717
log 3(46.01)=3.4851774403591
log 3(46.02)=3.4853752539482
log 3(46.03)=3.4855730245577
log 3(46.04)=3.4857707522063
log 3(46.05)=3.4859684369126
log 3(46.06)=3.4861660786953
log 3(46.07)=3.486363677573
log 3(46.08)=3.4865612335643
log 3(46.09)=3.486758746688
log 3(46.1)=3.4869562169624
log 3(46.11)=3.4871536444064
log 3(46.12)=3.4873510290383
log 3(46.13)=3.4875483708768
log 3(46.14)=3.4877456699405
log 3(46.15)=3.4879429262478
log 3(46.16)=3.4881401398174
log 3(46.17)=3.4883373106676
log 3(46.18)=3.4885344388171
log 3(46.19)=3.4887315242843
log 3(46.2)=3.4889285670876
log 3(46.21)=3.4891255672457
log 3(46.22)=3.4893225247768
log 3(46.23)=3.4895194396995
log 3(46.24)=3.4897163120322
log 3(46.25)=3.4899131417933
log 3(46.26)=3.4901099290012
log 3(46.27)=3.4903066736743
log 3(46.28)=3.490503375831
log 3(46.29)=3.4907000354897
log 3(46.3)=3.4908966526687
log 3(46.31)=3.4910932273864
log 3(46.32)=3.491289759661
log 3(46.33)=3.491486249511
log 3(46.34)=3.4916826969547
log 3(46.35)=3.4918791020103
log 3(46.36)=3.4920754646961
log 3(46.37)=3.4922717850304
log 3(46.38)=3.4924680630316
log 3(46.39)=3.4926642987177
log 3(46.4)=3.4928604921071
log 3(46.41)=3.493056643218
log 3(46.42)=3.4932527520686
log 3(46.43)=3.4934488186772
log 3(46.44)=3.4936448430618
log 3(46.45)=3.4938408252408
log 3(46.46)=3.4940367652322
log 3(46.47)=3.4942326630542
log 3(46.48)=3.4944285187251
log 3(46.49)=3.4946243322628
log 3(46.5)=3.4948201036856
log 3(46.51)=3.4950158330115

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