Home » Logarithms of 3 » Log3 (123)

Log 3 (123)

Log 3 (123) is the logarithm of 123 to the base 3:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (123) = 4.38023896602.

Calculate Log Base 3 of 123

To solve the equation log 3 (123) = 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 = 123, a = 3:
    log 3 (123) = log(123) / log(3)
  3. Evaluate the term:
    log(123) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.38023896602
    = Logarithm of 123 with base 3
Here’s the logarithm of 3 to the base 123.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.38023896602 = 123
  • 3 4.38023896602 = 123 is the exponential form of log3 (123)
  • 3 is the logarithm base of log3 (123)
  • 123 is the argument of log3 (123)
  • 4.38023896602 is the exponent or power of 3 4.38023896602 = 123
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 123?

Log3 (123) = 4.38023896602.

How do you find the value of log 3123?

Carry out the change of base logarithm operation.

What does log 3 123 mean?

It means the logarithm of 123 with base 3.

How do you solve log base 3 123?

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

What is the log base 3 of 123?

The value is 4.38023896602.

How do you write log 3 123 in exponential form?

In exponential form is 3 4.38023896602 = 123.

What is log3 (123) equal to?

log base 3 of 123 = 4.38023896602.
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 123 = 4.38023896602.

You now know everything about the logarithm with base 3, argument 123 and exponent 4.38023896602.
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 (123).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(122.5)=4.3765312654693
log 3(122.51)=4.3766055676796
log 3(122.52)=4.3766798638251
log 3(122.53)=4.3767541539069
log 3(122.54)=4.376828437926
log 3(122.55)=4.3769027158832
log 3(122.56)=4.3769769877797
log 3(122.57)=4.3770512536163
log 3(122.58)=4.3771255133942
log 3(122.59)=4.3771997671142
log 3(122.6)=4.3772740147775
log 3(122.61)=4.3773482563848
log 3(122.62)=4.3774224919373
log 3(122.63)=4.377496721436
log 3(122.64)=4.3775709448818
log 3(122.65)=4.3776451622756
log 3(122.66)=4.3777193736186
log 3(122.67)=4.3777935789116
log 3(122.68)=4.3778677781557
log 3(122.69)=4.3779419713519
log 3(122.7)=4.3780161585011
log 3(122.71)=4.3780903396043
log 3(122.72)=4.3781645146626
log 3(122.73)=4.3782386836768
log 3(122.74)=4.378312846648
log 3(122.75)=4.3783870035772
log 3(122.76)=4.3784611544653
log 3(122.77)=4.3785352993134
log 3(122.78)=4.3786094381223
log 3(122.79)=4.3786835708932
log 3(122.8)=4.3787576976269
log 3(122.81)=4.3788318183246
log 3(122.82)=4.378905932987
log 3(122.83)=4.3789800416153
log 3(122.84)=4.3790541442105
log 3(122.85)=4.3791282407734
log 3(122.86)=4.3792023313051
log 3(122.87)=4.3792764158065
log 3(122.88)=4.3793504942787
log 3(122.89)=4.3794245667226
log 3(122.9)=4.3794986331393
log 3(122.91)=4.3795726935296
log 3(122.92)=4.3796467478946
log 3(122.93)=4.3797207962352
log 3(122.94)=4.3797948385524
log 3(122.95)=4.3798688748473
log 3(122.96)=4.3799429051207
log 3(122.97)=4.3800169293737
log 3(122.98)=4.3800909476073
log 3(122.99)=4.3801649598224
log 3(123)=4.38023896602
log 3(123.01)=4.380312966201
log 3(123.02)=4.3803869603665
log 3(123.03)=4.3804609485175
log 3(123.04)=4.3805349306549
log 3(123.05)=4.3806089067796
log 3(123.06)=4.3806828768928
log 3(123.07)=4.3807568409952
log 3(123.08)=4.380830799088
log 3(123.09)=4.3809047511721
log 3(123.1)=4.3809786972485
log 3(123.11)=4.3810526373181
log 3(123.12)=4.381126571382
log 3(123.13)=4.381200499441
log 3(123.14)=4.3812744214963
log 3(123.15)=4.3813483375487
log 3(123.16)=4.3814222475992
log 3(123.17)=4.3814961516488
log 3(123.18)=4.3815700496985
log 3(123.19)=4.3816439417492
log 3(123.2)=4.381717827802
log 3(123.21)=4.3817917078578
log 3(123.22)=4.3818655819175
log 3(123.23)=4.3819394499822
log 3(123.24)=4.3820133120528
log 3(123.25)=4.3820871681303
log 3(123.26)=4.3821610182157
log 3(123.27)=4.3822348623099
log 3(123.28)=4.3823087004139
log 3(123.29)=4.3823825325287
log 3(123.3)=4.3824563586552
log 3(123.31)=4.3825301787945
log 3(123.32)=4.3826039929474
log 3(123.33)=4.382677801115
log 3(123.34)=4.3827516032983
log 3(123.35)=4.3828253994981
log 3(123.36)=4.3828991897156
log 3(123.37)=4.3829729739515
log 3(123.38)=4.383046752207
log 3(123.39)=4.383120524483
log 3(123.4)=4.3831942907804
log 3(123.41)=4.3832680511003
log 3(123.42)=4.3833418054435
log 3(123.43)=4.3834155538111
log 3(123.44)=4.3834892962041
log 3(123.45)=4.3835630326233
log 3(123.46)=4.3836367630698
log 3(123.47)=4.3837104875445
log 3(123.48)=4.3837842060484
log 3(123.49)=4.3838579185825
log 3(123.5)=4.3839316251477

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top