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Log 3 (364)

Log 3 (364) is the logarithm of 364 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 (364) = 5.3678207757771.

Calculate Log Base 3 of 364

To solve the equation log 3 (364) = 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 = 364, a = 3:
    log 3 (364) = log(364) / log(3)
  3. Evaluate the term:
    log(364) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.3678207757771
    = Logarithm of 364 with base 3
Here’s the logarithm of 3 to the base 364.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.3678207757771 = 364
  • 3 5.3678207757771 = 364 is the exponential form of log3 (364)
  • 3 is the logarithm base of log3 (364)
  • 364 is the argument of log3 (364)
  • 5.3678207757771 is the exponent or power of 3 5.3678207757771 = 364
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 364?

Log3 (364) = 5.3678207757771.

How do you find the value of log 3364?

Carry out the change of base logarithm operation.

What does log 3 364 mean?

It means the logarithm of 364 with base 3.

How do you solve log base 3 364?

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

What is the log base 3 of 364?

The value is 5.3678207757771.

How do you write log 3 364 in exponential form?

In exponential form is 3 5.3678207757771 = 364.

What is log3 (364) equal to?

log base 3 of 364 = 5.3678207757771.
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 364 = 5.3678207757771.

You now know everything about the logarithm with base 3, argument 364 and exponent 5.3678207757771.
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 (364).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(363.5)=5.3665695876397
log 3(363.51)=5.3665946282644
log 3(363.52)=5.3666196682002
log 3(363.53)=5.3666447074472
log 3(363.54)=5.3666697460055
log 3(363.55)=5.366694783875
log 3(363.56)=5.3667198210558
log 3(363.57)=5.3667448575479
log 3(363.58)=5.3667698933514
log 3(363.59)=5.3667949284664
log 3(363.6)=5.3668199628928
log 3(363.61)=5.3668449966307
log 3(363.62)=5.3668700296801
log 3(363.63)=5.3668950620411
log 3(363.64)=5.3669200937137
log 3(363.65)=5.3669451246979
log 3(363.66)=5.3669701549939
log 3(363.67)=5.3669951846015
log 3(363.68)=5.3670202135209
log 3(363.69)=5.3670452417521
log 3(363.7)=5.3670702692952
log 3(363.71)=5.3670952961501
log 3(363.72)=5.3671203223169
log 3(363.73)=5.3671453477957
log 3(363.74)=5.3671703725865
log 3(363.75)=5.3671953966892
log 3(363.76)=5.3672204201041
log 3(363.77)=5.367245442831
log 3(363.78)=5.3672704648701
log 3(363.79)=5.3672954862214
log 3(363.8)=5.3673205068848
log 3(363.81)=5.3673455268605
log 3(363.82)=5.3673705461486
log 3(363.83)=5.3673955647489
log 3(363.84)=5.3674205826616
log 3(363.85)=5.3674455998867
log 3(363.86)=5.3674706164242
log 3(363.87)=5.3674956322743
log 3(363.88)=5.3675206474368
log 3(363.89)=5.3675456619119
log 3(363.9)=5.3675706756995
log 3(363.91)=5.3675956887999
log 3(363.92)=5.3676207012128
log 3(363.93)=5.3676457129385
log 3(363.94)=5.3676707239769
log 3(363.95)=5.3676957343281
log 3(363.96)=5.3677207439921
log 3(363.97)=5.367745752969
log 3(363.98)=5.3677707612588
log 3(363.99)=5.3677957688615
log 3(364)=5.3678207757771
log 3(364.01)=5.3678457820058
log 3(364.02)=5.3678707875475
log 3(364.03)=5.3678957924023
log 3(364.04)=5.3679207965702
log 3(364.05)=5.3679458000513
log 3(364.06)=5.3679708028456
log 3(364.07)=5.3679958049531
log 3(364.08)=5.3680208063738
log 3(364.09)=5.3680458071079
log 3(364.1)=5.3680708071553
log 3(364.11)=5.3680958065161
log 3(364.12)=5.3681208051904
log 3(364.13)=5.3681458031781
log 3(364.14)=5.3681708004792
log 3(364.15)=5.368195797094
log 3(364.16)=5.3682207930223
log 3(364.17)=5.3682457882642
log 3(364.18)=5.3682707828197
log 3(364.19)=5.3682957766889
log 3(364.2)=5.3683207698719
log 3(364.21)=5.3683457623686
log 3(364.22)=5.3683707541791
log 3(364.23)=5.3683957453035
log 3(364.24)=5.3684207357417
log 3(364.25)=5.3684457254938
log 3(364.26)=5.3684707145599
log 3(364.27)=5.36849570294
log 3(364.28)=5.3685206906341
log 3(364.29)=5.3685456776422
log 3(364.3)=5.3685706639645
log 3(364.31)=5.3685956496009
log 3(364.32)=5.3686206345515
log 3(364.33)=5.3686456188162
log 3(364.34)=5.3686706023953
log 3(364.35)=5.3686955852886
log 3(364.36)=5.3687205674962
log 3(364.37)=5.3687455490183
log 3(364.38)=5.3687705298547
log 3(364.39)=5.3687955100055
log 3(364.4)=5.3688204894708
log 3(364.41)=5.3688454682507
log 3(364.42)=5.3688704463451
log 3(364.43)=5.368895423754
log 3(364.44)=5.3689204004776
log 3(364.45)=5.3689453765159
log 3(364.46)=5.3689703518689
log 3(364.47)=5.3689953265366
log 3(364.48)=5.3690203005191
log 3(364.49)=5.3690452738164
log 3(364.5)=5.3690702464285
log 3(364.51)=5.3690952183556

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