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Log 3 (370)

Log 3 (370) is the logarithm of 370 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 (370) = 5.3827024025077.

Calculate Log Base 3 of 370

To solve the equation log 3 (370) = 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 = 370, a = 3:
    log 3 (370) = log(370) / log(3)
  3. Evaluate the term:
    log(370) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.3827024025077
    = Logarithm of 370 with base 3
Here’s the logarithm of 3 to the base 370.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.3827024025077 = 370
  • 3 5.3827024025077 = 370 is the exponential form of log3 (370)
  • 3 is the logarithm base of log3 (370)
  • 370 is the argument of log3 (370)
  • 5.3827024025077 is the exponent or power of 3 5.3827024025077 = 370
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 370?

Log3 (370) = 5.3827024025077.

How do you find the value of log 3370?

Carry out the change of base logarithm operation.

What does log 3 370 mean?

It means the logarithm of 370 with base 3.

How do you solve log base 3 370?

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

What is the log base 3 of 370?

The value is 5.3827024025077.

How do you write log 3 370 in exponential form?

In exponential form is 3 5.3827024025077 = 370.

What is log3 (370) equal to?

log base 3 of 370 = 5.3827024025077.
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 370 = 5.3827024025077.

You now know everything about the logarithm with base 3, argument 370 and exponent 5.3827024025077.
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 (370).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(369.5)=5.3814715176323
log 3(369.51)=5.3814961516488
log 3(369.52)=5.3815207849986
log 3(369.53)=5.3815454176819
log 3(369.54)=5.3815700496985
log 3(369.55)=5.3815946810486
log 3(369.56)=5.3816193117321
log 3(369.57)=5.3816439417492
log 3(369.58)=5.3816685710999
log 3(369.59)=5.3816931997841
log 3(369.6)=5.381717827802
log 3(369.61)=5.3817424551535
log 3(369.62)=5.3817670818388
log 3(369.63)=5.3817917078578
log 3(369.64)=5.3818163332105
log 3(369.65)=5.3818409578971
log 3(369.66)=5.3818655819175
log 3(369.67)=5.3818902052718
log 3(369.68)=5.38191482796
log 3(369.69)=5.3819394499822
log 3(369.7)=5.3819640713384
log 3(369.71)=5.3819886920286
log 3(369.72)=5.3820133120528
log 3(369.73)=5.3820379314112
log 3(369.74)=5.3820625501037
log 3(369.75)=5.3820871681303
log 3(369.76)=5.3821117854912
log 3(369.77)=5.3821364021863
log 3(369.78)=5.3821610182157
log 3(369.79)=5.3821856335794
log 3(369.8)=5.3822102482774
log 3(369.81)=5.3822348623099
log 3(369.82)=5.3822594756767
log 3(369.83)=5.3822840883781
log 3(369.84)=5.3823087004139
log 3(369.85)=5.3823333117842
log 3(369.86)=5.3823579224891
log 3(369.87)=5.3823825325287
log 3(369.88)=5.3824071419028
log 3(369.89)=5.3824317506117
log 3(369.9)=5.3824563586552
log 3(369.91)=5.3824809660335
log 3(369.92)=5.3825055727466
log 3(369.93)=5.3825301787945
log 3(369.94)=5.3825547841772
log 3(369.95)=5.3825793888948
log 3(369.96)=5.3826039929474
log 3(369.97)=5.3826285963349
log 3(369.98)=5.3826531990575
log 3(369.99)=5.382677801115
log 3(370)=5.3827024025077
log 3(370.01)=5.3827270032354
log 3(370.02)=5.3827516032983
log 3(370.03)=5.3827762026963
log 3(370.04)=5.3828008014296
log 3(370.05)=5.3828253994981
log 3(370.06)=5.3828499969019
log 3(370.07)=5.3828745936411
log 3(370.08)=5.3828991897156
log 3(370.09)=5.3829237851254
log 3(370.1)=5.3829483798708
log 3(370.11)=5.3829729739515
log 3(370.12)=5.3829975673678
log 3(370.13)=5.3830221601196
log 3(370.14)=5.383046752207
log 3(370.15)=5.38307134363
log 3(370.16)=5.3830959343887
log 3(370.17)=5.383120524483
log 3(370.18)=5.3831451139131
log 3(370.19)=5.3831697026788
log 3(370.2)=5.3831942907804
log 3(370.21)=5.3832188782178
log 3(370.22)=5.3832434649911
log 3(370.23)=5.3832680511003
log 3(370.24)=5.3832926365454
log 3(370.25)=5.3833172213265
log 3(370.26)=5.3833418054435
log 3(370.27)=5.3833663888966
log 3(370.28)=5.3833909716858
log 3(370.29)=5.3834155538111
log 3(370.3)=5.3834401352726
log 3(370.31)=5.3834647160702
log 3(370.32)=5.3834892962041
log 3(370.33)=5.3835138756742
log 3(370.34)=5.3835384544806
log 3(370.35)=5.3835630326233
log 3(370.36)=5.3835876101024
log 3(370.37)=5.3836121869179
log 3(370.38)=5.3836367630698
log 3(370.39)=5.3836613385582
log 3(370.4)=5.3836859133831
log 3(370.41)=5.3837104875445
log 3(370.42)=5.3837350610425
log 3(370.43)=5.3837596338771
log 3(370.44)=5.3837842060484
log 3(370.45)=5.3838087775564
log 3(370.46)=5.3838333484011
log 3(370.47)=5.3838579185825
log 3(370.48)=5.3838824881007
log 3(370.49)=5.3839070569558
log 3(370.5)=5.3839316251477
log 3(370.51)=5.3839561926765

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