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Log 3 (126)

Log 3 (126) is the logarithm of 126 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 (126) = 4.4021735027329.

Calculate Log Base 3 of 126

To solve the equation log 3 (126) = 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 = 126, a = 3:
    log 3 (126) = log(126) / log(3)
  3. Evaluate the term:
    log(126) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.4021735027329
    = Logarithm of 126 with base 3
Here’s the logarithm of 3 to the base 126.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.4021735027329 = 126
  • 3 4.4021735027329 = 126 is the exponential form of log3 (126)
  • 3 is the logarithm base of log3 (126)
  • 126 is the argument of log3 (126)
  • 4.4021735027329 is the exponent or power of 3 4.4021735027329 = 126
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 126?

Log3 (126) = 4.4021735027329.

How do you find the value of log 3126?

Carry out the change of base logarithm operation.

What does log 3 126 mean?

It means the logarithm of 126 with base 3.

How do you solve log base 3 126?

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

What is the log base 3 of 126?

The value is 4.4021735027329.

How do you write log 3 126 in exponential form?

In exponential form is 3 4.4021735027329 = 126.

What is log3 (126) equal to?

log base 3 of 126 = 4.4021735027329.
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 126 = 4.4021735027329.

You now know everything about the logarithm with base 3, argument 126 and exponent 4.4021735027329.
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 (126).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(125.5)=4.3985542565068
log 3(125.51)=4.3986267826394
log 3(125.52)=4.3986993029937
log 3(125.53)=4.3987718175707
log 3(125.54)=4.3988443263712
log 3(125.55)=4.3989168293962
log 3(125.56)=4.3989893266465
log 3(125.57)=4.3990618181232
log 3(125.58)=4.3991343038272
log 3(125.59)=4.3992067837593
log 3(125.6)=4.3992792579204
log 3(125.61)=4.3993517263116
log 3(125.62)=4.3994241889336
log 3(125.63)=4.3994966457875
log 3(125.64)=4.3995690968742
log 3(125.65)=4.3996415421945
log 3(125.66)=4.3997139817494
log 3(125.67)=4.3997864155398
log 3(125.68)=4.3998588435666
log 3(125.69)=4.3999312658308
log 3(125.7)=4.4000036823332
log 3(125.71)=4.4000760930748
log 3(125.72)=4.4001484980565
log 3(125.73)=4.4002208972792
log 3(125.74)=4.4002932907437
log 3(125.75)=4.4003656784512
log 3(125.76)=4.4004380604024
log 3(125.77)=4.4005104365982
log 3(125.78)=4.4005828070396
log 3(125.79)=4.4006551717276
log 3(125.8)=4.4007275306629
log 3(125.81)=4.4007998838466
log 3(125.82)=4.4008722312795
log 3(125.83)=4.4009445729625
log 3(125.84)=4.4010169088967
log 3(125.85)=4.4010892390828
log 3(125.86)=4.4011615635218
log 3(125.87)=4.4012338822146
log 3(125.88)=4.4013061951621
log 3(125.89)=4.4013785023653
log 3(125.9)=4.401450803825
log 3(125.91)=4.4015230995422
log 3(125.92)=4.4015953895177
log 3(125.93)=4.4016676737526
log 3(125.94)=4.4017399522476
log 3(125.95)=4.4018122250037
log 3(125.96)=4.4018844920219
log 3(125.97)=4.401956753303
log 3(125.98)=4.4020290088479
log 3(125.99)=4.4021012586576
log 3(126)=4.4021735027329
log 3(126.01)=4.4022457410748
log 3(126.02)=4.4023179736842
log 3(126.03)=4.4023902005619
log 3(126.04)=4.402462421709
log 3(126.05)=4.4025346371263
log 3(126.06)=4.4026068468147
log 3(126.07)=4.4026790507751
log 3(126.08)=4.4027512490085
log 3(126.09)=4.4028234415157
log 3(126.1)=4.4028956282976
log 3(126.11)=4.4029678093553
log 3(126.12)=4.4030399846894
log 3(126.13)=4.4031121543011
log 3(126.14)=4.4031843181911
log 3(126.15)=4.4032564763605
log 3(126.16)=4.40332862881
log 3(126.17)=4.4034007755407
log 3(126.18)=4.4034729165533
log 3(126.19)=4.4035450518489
log 3(126.2)=4.4036171814283
log 3(126.21)=4.4036893052924
log 3(126.22)=4.4037614234421
log 3(126.23)=4.4038335358784
log 3(126.24)=4.4039056426022
log 3(126.25)=4.4039777436143
log 3(126.26)=4.4040498389156
log 3(126.27)=4.4041219285071
log 3(126.28)=4.4041940123897
log 3(126.29)=4.4042660905642
log 3(126.3)=4.4043381630316
log 3(126.31)=4.4044102297928
log 3(126.32)=4.4044822908486
log 3(126.33)=4.4045543462001
log 3(126.34)=4.404626395848
log 3(126.35)=4.4046984397933
log 3(126.36)=4.4047704780369
log 3(126.37)=4.4048425105797
log 3(126.38)=4.4049145374226
log 3(126.39)=4.4049865585665
log 3(126.4)=4.4050585740123
log 3(126.41)=4.4051305837609
log 3(126.42)=4.4052025878132
log 3(126.43)=4.4052745861701
log 3(126.44)=4.4053465788325
log 3(126.45)=4.4054185658013
log 3(126.46)=4.4054905470774
log 3(126.47)=4.4055625226618
log 3(126.48)=4.4056344925552
log 3(126.49)=4.4057064567586
log 3(126.5)=4.405778415273

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