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Log 3 (165)

Log 3 (165) is the logarithm of 165 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 (165) = 4.6476318593621.

Calculate Log Base 3 of 165

To solve the equation log 3 (165) = 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 = 165, a = 3:
    log 3 (165) = log(165) / log(3)
  3. Evaluate the term:
    log(165) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.6476318593621
    = Logarithm of 165 with base 3
Here’s the logarithm of 3 to the base 165.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.6476318593621 = 165
  • 3 4.6476318593621 = 165 is the exponential form of log3 (165)
  • 3 is the logarithm base of log3 (165)
  • 165 is the argument of log3 (165)
  • 4.6476318593621 is the exponent or power of 3 4.6476318593621 = 165
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 165?

Log3 (165) = 4.6476318593621.

How do you find the value of log 3165?

Carry out the change of base logarithm operation.

What does log 3 165 mean?

It means the logarithm of 165 with base 3.

How do you solve log base 3 165?

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

What is the log base 3 of 165?

The value is 4.6476318593621.

How do you write log 3 165 in exponential form?

In exponential form is 3 4.6476318593621 = 165.

What is log3 (165) equal to?

log base 3 of 165 = 4.6476318593621.
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 165 = 4.6476318593621.

You now know everything about the logarithm with base 3, argument 165 and exponent 4.6476318593621.
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 (165).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(164.5)=4.6448693709697
log 3(164.51)=4.6449247029795
log 3(164.52)=4.6449800316259
log 3(164.53)=4.6450353569094
log 3(164.54)=4.6450906788304
log 3(164.55)=4.6451459973893
log 3(164.56)=4.6452013125864
log 3(164.57)=4.6452566244223
log 3(164.58)=4.6453119328973
log 3(164.59)=4.6453672380118
log 3(164.6)=4.6454225397662
log 3(164.61)=4.645477838161
log 3(164.62)=4.6455331331965
log 3(164.63)=4.6455884248731
log 3(164.64)=4.6456437131913
log 3(164.65)=4.6456989981515
log 3(164.66)=4.6457542797541
log 3(164.67)=4.6458095579994
log 3(164.68)=4.6458648328879
log 3(164.69)=4.6459201044201
log 3(164.7)=4.6459753725962
log 3(164.71)=4.6460306374168
log 3(164.72)=4.6460858988821
log 3(164.73)=4.6461411569927
log 3(164.74)=4.646196411749
log 3(164.75)=4.6462516631513
log 3(164.76)=4.6463069112
log 3(164.77)=4.6463621558956
log 3(164.78)=4.6464173972384
log 3(164.79)=4.646472635229
log 3(164.8)=4.6465278698676
log 3(164.81)=4.6465831011547
log 3(164.82)=4.6466383290906
log 3(164.83)=4.6466935536759
log 3(164.84)=4.6467487749109
log 3(164.85)=4.646803992796
log 3(164.86)=4.6468592073316
log 3(164.87)=4.6469144185182
log 3(164.88)=4.646969626356
log 3(164.89)=4.6470248308456
log 3(164.9)=4.6470800319874
log 3(164.91)=4.6471352297817
log 3(164.92)=4.647190424229
log 3(164.93)=4.6472456153296
log 3(164.94)=4.647300803084
log 3(164.95)=4.6473559874925
log 3(164.96)=4.6474111685556
log 3(164.97)=4.6474663462738
log 3(164.98)=4.6475215206473
log 3(164.99)=4.6475766916766
log 3(165)=4.6476318593621
log 3(165.01)=4.6476870237042
log 3(165.02)=4.6477421847033
log 3(165.03)=4.6477973423598
log 3(165.04)=4.6478524966742
log 3(165.05)=4.6479076476467
log 3(165.06)=4.647962795278
log 3(165.07)=4.6480179395682
log 3(165.08)=4.6480730805179
log 3(165.09)=4.6481282181274
log 3(165.1)=4.6481833523972
log 3(165.11)=4.6482384833276
log 3(165.12)=4.6482936109191
log 3(165.13)=4.6483487351721
log 3(165.14)=4.6484038560869
log 3(165.15)=4.648458973664
log 3(165.16)=4.6485140879037
log 3(165.17)=4.6485691988066
log 3(165.18)=4.6486243063729
log 3(165.19)=4.6486794106031
log 3(165.2)=4.6487345114977
log 3(165.21)=4.6487896090569
log 3(165.22)=4.6488447032812
log 3(165.23)=4.648899794171
log 3(165.24)=4.6489548817267
log 3(165.25)=4.6490099659487
log 3(165.26)=4.6490650468375
log 3(165.27)=4.6491201243933
log 3(165.28)=4.6491751986167
log 3(165.29)=4.649230269508
log 3(165.3)=4.6492853370676
log 3(165.31)=4.649340401296
log 3(165.32)=4.6493954621935
log 3(165.33)=4.6494505197605
log 3(165.34)=4.6495055739975
log 3(165.35)=4.6495606249048
log 3(165.36)=4.6496156724829
log 3(165.37)=4.6496707167321
log 3(165.38)=4.6497257576528
log 3(165.39)=4.6497807952455
log 3(165.4)=4.6498358295106
log 3(165.41)=4.6498908604484
log 3(165.42)=4.6499458880594
log 3(165.43)=4.6500009123439
log 3(165.44)=4.6500559333024
log 3(165.45)=4.6501109509353
log 3(165.46)=4.6501659652429
log 3(165.47)=4.6502209762257
log 3(165.48)=4.6502759838841
log 3(165.49)=4.6503309882184
log 3(165.5)=4.6503859892291
log 3(165.51)=4.6504409869166

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