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Log 3 (120)

Log 3 (120) is the logarithm of 120 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 (120) = 4.3577627814323.

Calculate Log Base 3 of 120

To solve the equation log 3 (120) = 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 = 120, a = 3:
    log 3 (120) = log(120) / log(3)
  3. Evaluate the term:
    log(120) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.3577627814323
    = Logarithm of 120 with base 3
Here’s the logarithm of 3 to the base 120.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.3577627814323 = 120
  • 3 4.3577627814323 = 120 is the exponential form of log3 (120)
  • 3 is the logarithm base of log3 (120)
  • 120 is the argument of log3 (120)
  • 4.3577627814323 is the exponent or power of 3 4.3577627814323 = 120
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 120?

Log3 (120) = 4.3577627814323.

How do you find the value of log 3120?

Carry out the change of base logarithm operation.

What does log 3 120 mean?

It means the logarithm of 120 with base 3.

How do you solve log base 3 120?

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

What is the log base 3 of 120?

The value is 4.3577627814323.

How do you write log 3 120 in exponential form?

In exponential form is 3 4.3577627814323 = 120.

What is log3 (120) equal to?

log base 3 of 120 = 4.3577627814323.
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 120 = 4.3577627814323.

You now know everything about the logarithm with base 3, argument 120 and exponent 4.3577627814323.
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 (120).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(119.5)=4.3539621945887
log 3(119.51)=4.3540383620484
log 3(119.52)=4.3541145231351
log 3(119.53)=4.3541906778498
log 3(119.54)=4.3542668261935
log 3(119.55)=4.3543429681675
log 3(119.56)=4.3544191037726
log 3(119.57)=4.35449523301
log 3(119.58)=4.3545713558808
log 3(119.59)=4.3546474723859
log 3(119.6)=4.3547235825266
log 3(119.61)=4.3547996863038
log 3(119.62)=4.3548757837186
log 3(119.63)=4.3549518747721
log 3(119.64)=4.3550279594653
log 3(119.65)=4.3551040377993
log 3(119.66)=4.3551801097751
log 3(119.67)=4.3552561753939
log 3(119.68)=4.3553322346567
log 3(119.69)=4.3554082875645
log 3(119.7)=4.3554843341184
log 3(119.71)=4.3555603743195
log 3(119.72)=4.3556364081688
log 3(119.73)=4.3557124356674
log 3(119.74)=4.3557884568164
log 3(119.75)=4.3558644716168
log 3(119.76)=4.3559404800696
log 3(119.77)=4.356016482176
log 3(119.78)=4.356092477937
log 3(119.79)=4.3561684673536
log 3(119.8)=4.356244450427
log 3(119.81)=4.3563204271581
log 3(119.82)=4.3563963975481
log 3(119.83)=4.3564723615979
log 3(119.84)=4.3565483193087
log 3(119.85)=4.3566242706815
log 3(119.86)=4.3567002157173
log 3(119.87)=4.3567761544173
log 3(119.88)=4.3568520867824
log 3(119.89)=4.3569280128138
log 3(119.9)=4.3570039325125
log 3(119.91)=4.3570798458795
log 3(119.92)=4.3571557529159
log 3(119.93)=4.3572316536228
log 3(119.94)=4.3573075480011
log 3(119.95)=4.3573834360521
log 3(119.96)=4.3574593177767
log 3(119.97)=4.3575351931759
log 3(119.98)=4.3576110622509
log 3(119.99)=4.3576869250027
log 3(120)=4.3577627814323
log 3(120.01)=4.3578386315408
log 3(120.02)=4.3579144753293
log 3(120.03)=4.3579903127987
log 3(120.04)=4.3580661439502
log 3(120.05)=4.3581419687848
log 3(120.06)=4.3582177873036
log 3(120.07)=4.3582935995076
log 3(120.08)=4.3583694053979
log 3(120.09)=4.3584452049754
log 3(120.1)=4.3585209982413
log 3(120.11)=4.3585967851967
log 3(120.12)=4.3586725658425
log 3(120.13)=4.3587483401798
log 3(120.14)=4.3588241082097
log 3(120.15)=4.3588998699332
log 3(120.16)=4.3589756253514
log 3(120.17)=4.3590513744653
log 3(120.18)=4.359127117276
log 3(120.19)=4.3592028537845
log 3(120.2)=4.3592785839918
log 3(120.21)=4.3593543078991
log 3(120.22)=4.3594300255073
log 3(120.23)=4.3595057368175
log 3(120.24)=4.3595814418308
log 3(120.25)=4.3596571405482
log 3(120.26)=4.3597328329707
log 3(120.27)=4.3598085190994
log 3(120.28)=4.3598841989354
log 3(120.29)=4.3599598724796
log 3(120.3)=4.3600355397332
log 3(120.31)=4.3601112006972
log 3(120.32)=4.3601868553726
log 3(120.33)=4.3602625037605
log 3(120.34)=4.3603381458619
log 3(120.35)=4.3604137816779
log 3(120.36)=4.3604894112094
log 3(120.37)=4.3605650344576
log 3(120.38)=4.3606406514236
log 3(120.39)=4.3607162621082
log 3(120.4)=4.3607918665126
log 3(120.41)=4.3608674646379
log 3(120.42)=4.360943056485
log 3(120.43)=4.3610186420551
log 3(120.44)=4.361094221349
log 3(120.45)=4.361169794368
log 3(120.46)=4.361245361113
log 3(120.47)=4.3613209215851
log 3(120.48)=4.3613964757854
log 3(120.49)=4.3614720237147
log 3(120.5)=4.3615475653743

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