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Log 3 (388)

Log 3 (388) is the logarithm of 388 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 (388) = 5.4259408902571.

Calculate Log Base 3 of 388

To solve the equation log 3 (388) = 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 = 388, a = 3:
    log 3 (388) = log(388) / log(3)
  3. Evaluate the term:
    log(388) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.4259408902571
    = Logarithm of 388 with base 3
Here’s the logarithm of 3 to the base 388.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.4259408902571 = 388
  • 3 5.4259408902571 = 388 is the exponential form of log3 (388)
  • 3 is the logarithm base of log3 (388)
  • 388 is the argument of log3 (388)
  • 5.4259408902571 is the exponent or power of 3 5.4259408902571 = 388
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 388?

Log3 (388) = 5.4259408902571.

How do you find the value of log 3388?

Carry out the change of base logarithm operation.

What does log 3 388 mean?

It means the logarithm of 388 with base 3.

How do you solve log base 3 388?

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

What is the log base 3 of 388?

The value is 5.4259408902571.

How do you write log 3 388 in exponential form?

In exponential form is 3 5.4259408902571 = 388.

What is log3 (388) equal to?

log base 3 of 388 = 5.4259408902571.
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 388 = 5.4259408902571.

You now know everything about the logarithm with base 3, argument 388 and exponent 5.4259408902571.
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 (388).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(387.5)=5.4247671451214
log 3(387.51)=5.4247906348629
log 3(387.52)=5.4248141239982
log 3(387.53)=5.4248376125274
log 3(387.54)=5.4248611004504
log 3(387.55)=5.4248845877674
log 3(387.56)=5.4249080744784
log 3(387.57)=5.4249315605833
log 3(387.58)=5.4249550460823
log 3(387.59)=5.4249785309753
log 3(387.6)=5.4250020152625
log 3(387.61)=5.4250254989437
log 3(387.62)=5.4250489820191
log 3(387.63)=5.4250724644887
log 3(387.64)=5.4250959463524
log 3(387.65)=5.4251194276105
log 3(387.66)=5.4251429082628
log 3(387.67)=5.4251663883094
log 3(387.68)=5.4251898677503
log 3(387.69)=5.4252133465856
log 3(387.7)=5.4252368248153
log 3(387.71)=5.4252603024395
log 3(387.72)=5.4252837794581
log 3(387.73)=5.4253072558712
log 3(387.74)=5.4253307316788
log 3(387.75)=5.425354206881
log 3(387.76)=5.4253776814777
log 3(387.77)=5.4254011554691
log 3(387.78)=5.4254246288551
log 3(387.79)=5.4254481016358
log 3(387.8)=5.4254715738113
log 3(387.81)=5.4254950453814
log 3(387.82)=5.4255185163464
log 3(387.83)=5.4255419867061
log 3(387.84)=5.4255654564607
log 3(387.85)=5.4255889256101
log 3(387.86)=5.4256123941545
log 3(387.87)=5.4256358620937
log 3(387.88)=5.425659329428
log 3(387.89)=5.4256827961572
log 3(387.9)=5.4257062622815
log 3(387.91)=5.4257297278008
log 3(387.92)=5.4257531927152
log 3(387.93)=5.4257766570247
log 3(387.94)=5.4258001207293
log 3(387.95)=5.4258235838292
log 3(387.96)=5.4258470463242
log 3(387.97)=5.4258705082145
log 3(387.98)=5.4258939695001
log 3(387.99)=5.4259174301809
log 3(388)=5.4259408902571
log 3(388.01)=5.4259643497287
log 3(388.02)=5.4259878085957
log 3(388.03)=5.4260112668581
log 3(388.04)=5.4260347245159
log 3(388.05)=5.4260581815693
log 3(388.06)=5.4260816380181
log 3(388.07)=5.4261050938626
log 3(388.08)=5.4261285491026
log 3(388.09)=5.4261520037382
log 3(388.1)=5.4261754577695
log 3(388.11)=5.4261989111964
log 3(388.12)=5.4262223640191
log 3(388.13)=5.4262458162375
log 3(388.14)=5.4262692678517
log 3(388.15)=5.4262927188616
log 3(388.16)=5.4263161692675
log 3(388.17)=5.4263396190691
log 3(388.18)=5.4263630682667
log 3(388.19)=5.4263865168602
log 3(388.2)=5.4264099648496
log 3(388.21)=5.4264334122351
log 3(388.22)=5.4264568590166
log 3(388.23)=5.4264803051941
log 3(388.24)=5.4265037507677
log 3(388.25)=5.4265271957374
log 3(388.26)=5.4265506401033
log 3(388.27)=5.4265740838653
log 3(388.28)=5.4265975270235
log 3(388.29)=5.426620969578
log 3(388.3)=5.4266444115288
log 3(388.31)=5.4266678528758
log 3(388.32)=5.4266912936192
log 3(388.33)=5.4267147337589
log 3(388.34)=5.4267381732951
log 3(388.35)=5.4267616122276
log 3(388.36)=5.4267850505567
log 3(388.37)=5.4268084882822
log 3(388.38)=5.4268319254042
log 3(388.39)=5.4268553619228
log 3(388.4)=5.4268787978379
log 3(388.41)=5.4269022331497
log 3(388.42)=5.4269256678581
log 3(388.43)=5.4269491019632
log 3(388.44)=5.426972535465
log 3(388.45)=5.4269959683635
log 3(388.46)=5.4270194006588
log 3(388.47)=5.4270428323509
log 3(388.48)=5.4270662634398
log 3(388.49)=5.4270896939256
log 3(388.5)=5.4271131238082
log 3(388.51)=5.4271365530878

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