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Log 3 (42)

Log 3 (42) is the logarithm of 42 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 (42) = 3.4021735027329.

Calculate Log Base 3 of 42

To solve the equation log 3 (42) = 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 = 42, a = 3:
    log 3 (42) = log(42) / log(3)
  3. Evaluate the term:
    log(42) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.4021735027329
    = Logarithm of 42 with base 3
Here’s the logarithm of 3 to the base 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.4021735027329 = 42
  • 3 3.4021735027329 = 42 is the exponential form of log3 (42)
  • 3 is the logarithm base of log3 (42)
  • 42 is the argument of log3 (42)
  • 3.4021735027329 is the exponent or power of 3 3.4021735027329 = 42
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 42?

Log3 (42) = 3.4021735027329.

How do you find the value of log 342?

Carry out the change of base logarithm operation.

What does log 3 42 mean?

It means the logarithm of 42 with base 3.

How do you solve log base 3 42?

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

What is the log base 3 of 42?

The value is 3.4021735027329.

How do you write log 3 42 in exponential form?

In exponential form is 3 3.4021735027329 = 42.

What is log3 (42) equal to?

log base 3 of 42 = 3.4021735027329.
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 42 = 3.4021735027329.

You now know everything about the logarithm with base 3, argument 42 and exponent 3.4021735027329.
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 (42).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(41.5)=3.3912723038566
log 3(41.51)=3.3914916121884
log 3(41.52)=3.3917108676938
log 3(41.53)=3.3919300703985
log 3(41.54)=3.3921492203277
log 3(41.55)=3.3923683175069
log 3(41.56)=3.3925873619615
log 3(41.57)=3.3928063537168
log 3(41.58)=3.3930252927982
log 3(41.59)=3.3932441792311
log 3(41.6)=3.3934630130407
log 3(41.61)=3.3936817942523
log 3(41.62)=3.3939005228913
log 3(41.63)=3.3941191989828
log 3(41.64)=3.3943378225522
log 3(41.65)=3.3945563936246
log 3(41.66)=3.3947749122252
log 3(41.67)=3.3949933783793
log 3(41.68)=3.395211792112
log 3(41.69)=3.3954301534484
log 3(41.7)=3.3956484624138
log 3(41.71)=3.3958667190331
log 3(41.72)=3.3960849233316
log 3(41.73)=3.3963030753342
log 3(41.74)=3.3965211750661
log 3(41.75)=3.3967392225523
log 3(41.76)=3.3969572178177
log 3(41.77)=3.3971751608875
log 3(41.78)=3.3973930517866
log 3(41.79)=3.39761089054
log 3(41.8)=3.3978286771726
log 3(41.81)=3.3980464117094
log 3(41.82)=3.3982640941752
log 3(41.83)=3.398481724595
log 3(41.84)=3.3986993029937
log 3(41.85)=3.3989168293962
log 3(41.86)=3.3991343038272
log 3(41.87)=3.3993517263116
log 3(41.88)=3.3995690968742
log 3(41.89)=3.3997864155398
log 3(41.9)=3.4000036823332
log 3(41.91)=3.4002208972791
log 3(41.92)=3.4004380604024
log 3(41.93)=3.4006551717276
log 3(41.94)=3.4008722312795
log 3(41.95)=3.4010892390828
log 3(41.96)=3.4013061951621
log 3(41.97)=3.4015230995422
log 3(41.98)=3.4017399522476
log 3(41.99)=3.401956753303
log 3(42)=3.4021735027329
log 3(42.01)=3.4023902005619
log 3(42.02)=3.4026068468147
log 3(42.03)=3.4028234415157
log 3(42.04)=3.4030399846894
log 3(42.05)=3.4032564763605
log 3(42.06)=3.4034729165533
log 3(42.07)=3.4036893052924
log 3(42.08)=3.4039056426022
log 3(42.09)=3.4041219285071
log 3(42.1)=3.4043381630316
log 3(42.11)=3.4045543462001
log 3(42.12)=3.4047704780369
log 3(42.13)=3.4049865585665
log 3(42.14)=3.4052025878132
log 3(42.15)=3.4054185658013
log 3(42.16)=3.4056344925552
log 3(42.17)=3.4058503680991
log 3(42.18)=3.4060661924573
log 3(42.19)=3.4062819656542
log 3(42.2)=3.4064976877139
log 3(42.21)=3.4067133586607
log 3(42.22)=3.4069289785187
log 3(42.23)=3.4071445473123
log 3(42.24)=3.4073600650656
log 3(42.25)=3.4075755318027
log 3(42.26)=3.4077909475478
log 3(42.27)=3.408006312325
log 3(42.28)=3.4082216261584
log 3(42.29)=3.4084368890722
log 3(42.3)=3.4086521010903
log 3(42.31)=3.408867262237
log 3(42.32)=3.4090823725361
log 3(42.33)=3.4092974320118
log 3(42.34)=3.4095124406881
log 3(42.35)=3.4097273985889
log 3(42.36)=3.4099423057382
log 3(42.37)=3.4101571621599
log 3(42.38)=3.4103719678781
log 3(42.39)=3.4105867229167
log 3(42.4)=3.4108014272995
log 3(42.41)=3.4110160810504
log 3(42.42)=3.4112306841933
log 3(42.43)=3.4114452367522
log 3(42.44)=3.4116597387507
log 3(42.45)=3.4118741902128
log 3(42.46)=3.4120885911622
log 3(42.47)=3.4123029416228
log 3(42.48)=3.4125172416183
log 3(42.49)=3.4127314911725
log 3(42.5)=3.412945690309
log 3(42.51)=3.4131598390517

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