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Log 3 (360)

Log 3 (360) is the logarithm of 360 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 (360) = 5.3577627814323.

Calculate Log Base 3 of 360

To solve the equation log 3 (360) = 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 = 360, a = 3:
    log 3 (360) = log(360) / log(3)
  3. Evaluate the term:
    log(360) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.3577627814323
    = Logarithm of 360 with base 3
Here’s the logarithm of 3 to the base 360.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.3577627814323 = 360
  • 3 5.3577627814323 = 360 is the exponential form of log3 (360)
  • 3 is the logarithm base of log3 (360)
  • 360 is the argument of log3 (360)
  • 5.3577627814323 is the exponent or power of 3 5.3577627814323 = 360
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 360?

Log3 (360) = 5.3577627814323.

How do you find the value of log 3360?

Carry out the change of base logarithm operation.

What does log 3 360 mean?

It means the logarithm of 360 with base 3.

How do you solve log base 3 360?

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

What is the log base 3 of 360?

The value is 5.3577627814323.

How do you write log 3 360 in exponential form?

In exponential form is 3 5.3577627814323 = 360.

What is log3 (360) equal to?

log base 3 of 360 = 5.3577627814323.
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 360 = 5.3577627814323.

You now know everything about the logarithm with base 3, argument 360 and exponent 5.3577627814323.
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 (360).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(359.5)=5.3564976815391
log 3(359.51)=5.356523000776
log 3(359.52)=5.3565483193087
log 3(359.53)=5.3565736371371
log 3(359.54)=5.3565989542614
log 3(359.55)=5.3566242706815
log 3(359.56)=5.3566495863975
log 3(359.57)=5.3566749014094
log 3(359.58)=5.3567002157173
log 3(359.59)=5.3567255293212
log 3(359.6)=5.3567508422212
log 3(359.61)=5.3567761544173
log 3(359.62)=5.3568014659095
log 3(359.63)=5.3568267766978
log 3(359.64)=5.3568520867824
log 3(359.65)=5.3568773961632
log 3(359.66)=5.3569027048404
log 3(359.67)=5.3569280128138
log 3(359.68)=5.3569533200836
log 3(359.69)=5.3569786266498
log 3(359.7)=5.3570039325125
log 3(359.71)=5.3570292376716
log 3(359.72)=5.3570545421273
log 3(359.73)=5.3570798458795
log 3(359.74)=5.3571051489283
log 3(359.75)=5.3571304512737
log 3(359.76)=5.3571557529159
log 3(359.77)=5.3571810538547
log 3(359.78)=5.3572063540903
log 3(359.79)=5.3572316536228
log 3(359.8)=5.357256952452
log 3(359.81)=5.3572822505781
log 3(359.82)=5.3573075480011
log 3(359.83)=5.3573328447211
log 3(359.84)=5.3573581407381
log 3(359.85)=5.3573834360521
log 3(359.86)=5.3574087306632
log 3(359.87)=5.3574340245713
log 3(359.88)=5.3574593177767
log 3(359.89)=5.3574846102792
log 3(359.9)=5.3575099020789
log 3(359.91)=5.3575351931759
log 3(359.92)=5.3575604835702
log 3(359.93)=5.3575857732619
log 3(359.94)=5.3576110622509
log 3(359.95)=5.3576363505374
log 3(359.96)=5.3576616381213
log 3(359.97)=5.3576869250027
log 3(359.98)=5.3577122111816
log 3(359.99)=5.3577374966582
log 3(360)=5.3577627814323
log 3(360.01)=5.3577880655041
log 3(360.02)=5.3578133488736
log 3(360.03)=5.3578386315408
log 3(360.04)=5.3578639135058
log 3(360.05)=5.3578891947686
log 3(360.06)=5.3579144753293
log 3(360.07)=5.3579397551878
log 3(360.08)=5.3579650343443
log 3(360.09)=5.3579903127987
log 3(360.1)=5.3580155905512
log 3(360.11)=5.3580408676017
log 3(360.12)=5.3580661439502
log 3(360.13)=5.3580914195969
log 3(360.14)=5.3581166945418
log 3(360.15)=5.3581419687848
log 3(360.16)=5.3581672423261
log 3(360.17)=5.3581925151657
log 3(360.18)=5.3582177873036
log 3(360.19)=5.3582430587399
log 3(360.2)=5.3582683294745
log 3(360.21)=5.3582935995076
log 3(360.22)=5.3583188688392
log 3(360.23)=5.3583441374692
log 3(360.24)=5.3583694053979
log 3(360.25)=5.3583946726251
log 3(360.26)=5.3584199391509
log 3(360.27)=5.3584452049754
log 3(360.28)=5.3584704700986
log 3(360.29)=5.3584957345206
log 3(360.3)=5.3585209982413
log 3(360.31)=5.3585462612609
log 3(360.32)=5.3585715235793
log 3(360.33)=5.3585967851967
log 3(360.34)=5.358622046113
log 3(360.35)=5.3586473063282
log 3(360.36)=5.3586725658425
log 3(360.37)=5.3586978246558
log 3(360.38)=5.3587230827683
log 3(360.39)=5.3587483401798
log 3(360.4)=5.3587735968906
log 3(360.41)=5.3587988529005
log 3(360.42)=5.3588241082097
log 3(360.43)=5.3588493628182
log 3(360.44)=5.358874616726
log 3(360.45)=5.3588998699332
log 3(360.46)=5.3589251224398
log 3(360.47)=5.3589503742459
log 3(360.48)=5.3589756253514
log 3(360.49)=5.3590008757565
log 3(360.5)=5.3590261254611
log 3(360.51)=5.3590513744653

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