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Log 3 (389)

Log 3 (389) is the logarithm of 389 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 (389) = 5.428283849663.

Calculate Log Base 3 of 389

To solve the equation log 3 (389) = 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 = 389, a = 3:
    log 3 (389) = log(389) / log(3)
  3. Evaluate the term:
    log(389) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.428283849663
    = Logarithm of 389 with base 3
Here’s the logarithm of 3 to the base 389.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.428283849663 = 389
  • 3 5.428283849663 = 389 is the exponential form of log3 (389)
  • 3 is the logarithm base of log3 (389)
  • 389 is the argument of log3 (389)
  • 5.428283849663 is the exponent or power of 3 5.428283849663 = 389
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 389?

Log3 (389) = 5.428283849663.

How do you find the value of log 3389?

Carry out the change of base logarithm operation.

What does log 3 389 mean?

It means the logarithm of 389 with base 3.

How do you solve log base 3 389?

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

What is the log base 3 of 389?

The value is 5.428283849663.

How do you write log 3 389 in exponential form?

In exponential form is 3 5.428283849663 = 389.

What is log3 (389) equal to?

log base 3 of 389 = 5.428283849663.
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 389 = 5.428283849663.

You now know everything about the logarithm with base 3, argument 389 and exponent 5.428283849663.
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 (389).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(388.5)=5.4271131238082
log 3(388.51)=5.4271365530878
log 3(388.52)=5.4271599817644
log 3(388.53)=5.4271834098379
log 3(388.54)=5.4272068373084
log 3(388.55)=5.427230264176
log 3(388.56)=5.4272536904407
log 3(388.57)=5.4272771161025
log 3(388.58)=5.4273005411614
log 3(388.59)=5.4273239656175
log 3(388.6)=5.4273473894707
log 3(388.61)=5.4273708127213
log 3(388.62)=5.427394235369
log 3(388.63)=5.4274176574141
log 3(388.64)=5.4274410788565
log 3(388.65)=5.4274644996963
log 3(388.66)=5.4274879199334
log 3(388.67)=5.427511339568
log 3(388.68)=5.4275347586
log 3(388.69)=5.4275581770295
log 3(388.7)=5.4275815948565
log 3(388.71)=5.427605012081
log 3(388.72)=5.4276284287031
log 3(388.73)=5.4276518447229
log 3(388.74)=5.4276752601402
log 3(388.75)=5.4276986749552
log 3(388.76)=5.427722089168
log 3(388.77)=5.4277455027784
log 3(388.78)=5.4277689157866
log 3(388.79)=5.4277923281926
log 3(388.8)=5.4278157399964
log 3(388.81)=5.4278391511981
log 3(388.82)=5.4278625617977
log 3(388.83)=5.4278859717951
log 3(388.84)=5.4279093811906
log 3(388.85)=5.427932789984
log 3(388.86)=5.4279561981754
log 3(388.87)=5.4279796057648
log 3(388.88)=5.4280030127523
log 3(388.89)=5.4280264191379
log 3(388.9)=5.4280498249216
log 3(388.91)=5.4280732301035
log 3(388.92)=5.4280966346836
log 3(388.93)=5.428120038662
log 3(388.94)=5.4281434420385
log 3(388.95)=5.4281668448134
log 3(388.96)=5.4281902469866
log 3(388.97)=5.4282136485581
log 3(388.98)=5.428237049528
log 3(388.99)=5.4282604498963
log 3(389)=5.428283849663
log 3(389.01)=5.4283072488283
log 3(389.02)=5.428330647392
log 3(389.03)=5.4283540453542
log 3(389.04)=5.4283774427151
log 3(389.05)=5.4284008394745
log 3(389.06)=5.4284242356325
log 3(389.07)=5.4284476311892
log 3(389.08)=5.4284710261446
log 3(389.09)=5.4284944204987
log 3(389.1)=5.4285178142516
log 3(389.11)=5.4285412074032
log 3(389.12)=5.4285645999536
log 3(389.13)=5.4285879919029
log 3(389.14)=5.4286113832511
log 3(389.15)=5.4286347739982
log 3(389.16)=5.4286581641442
log 3(389.17)=5.4286815536891
log 3(389.18)=5.4287049426331
log 3(389.19)=5.4287283309761
log 3(389.2)=5.4287517187181
log 3(389.21)=5.4287751058593
log 3(389.22)=5.4287984923995
log 3(389.23)=5.4288218783389
log 3(389.24)=5.4288452636775
log 3(389.25)=5.4288686484153
log 3(389.26)=5.4288920325524
log 3(389.27)=5.4289154160887
log 3(389.28)=5.4289387990243
log 3(389.29)=5.4289621813593
log 3(389.3)=5.4289855630936
log 3(389.31)=5.4290089442273
log 3(389.32)=5.4290323247605
log 3(389.33)=5.4290557046931
log 3(389.34)=5.4290790840252
log 3(389.35)=5.4291024627569
log 3(389.36)=5.429125840888
log 3(389.37)=5.4291492184188
log 3(389.38)=5.4291725953492
log 3(389.39)=5.4291959716792
log 3(389.4)=5.4292193474089
log 3(389.41)=5.4292427225383
log 3(389.42)=5.4292660970675
log 3(389.43)=5.4292894709964
log 3(389.44)=5.4293128443251
log 3(389.45)=5.4293362170536
log 3(389.46)=5.429359589182
log 3(389.47)=5.4293829607103
log 3(389.48)=5.4294063316385
log 3(389.49)=5.4294297019667
log 3(389.5)=5.4294530716949
log 3(389.51)=5.429476440823

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