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Log 2 (42)

Log 2 (42) is the logarithm of 42 to the base 2:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log2 (42) = 5.3923174227788.

Calculate Log Base 2 of 42

To solve the equation log 2 (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 = 2:
    log 2 (42) = log(42) / log(2)
  3. Evaluate the term:
    log(42) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 5.3923174227788
    = Logarithm of 42 with base 2
Here’s the logarithm of 2 to the base 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 5.3923174227788 = 42
  • 2 5.3923174227788 = 42 is the exponential form of log2 (42)
  • 2 is the logarithm base of log2 (42)
  • 42 is the argument of log2 (42)
  • 5.3923174227788 is the exponent or power of 2 5.3923174227788 = 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 log2 42?

Log2 (42) = 5.3923174227788.

How do you find the value of log 242?

Carry out the change of base logarithm operation.

What does log 2 42 mean?

It means the logarithm of 42 with base 2.

How do you solve log base 2 42?

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

What is the log base 2 of 42?

The value is 5.3923174227788.

How do you write log 2 42 in exponential form?

In exponential form is 2 5.3923174227788 = 42.

What is log2 (42) equal to?

log base 2 of 42 = 5.3923174227788.
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 2 of 42 = 5.3923174227788.

You now know everything about the logarithm with base 2, argument 42 and exponent 5.3923174227788.
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 Log2 (42).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(41.5)=5.3750394313469
log 2(41.51)=5.3753870268289
log 2(41.52)=5.3757345385832
log 2(41.53)=5.3760819666501
log 2(41.54)=5.3764293110699
log 2(41.55)=5.376776571883
log 2(41.56)=5.3771237491295
log 2(41.57)=5.3774708428496
log 2(41.58)=5.3778178530836
log 2(41.59)=5.3781647798716
log 2(41.6)=5.3785116232537
log 2(41.61)=5.37885838327
log 2(41.62)=5.3792050599606
log 2(41.63)=5.3795516533655
log 2(41.64)=5.3798981635247
log 2(41.65)=5.3802445904782
log 2(41.66)=5.3805909342659
log 2(41.67)=5.3809371949278
log 2(41.68)=5.3812833725038
log 2(41.69)=5.3816294670337
log 2(41.7)=5.3819754785573
log 2(41.71)=5.3823214071145
log 2(41.72)=5.382667252745
log 2(41.73)=5.3830130154887
log 2(41.74)=5.3833586953851
log 2(41.75)=5.3837042924741
log 2(41.76)=5.3840498067952
log 2(41.77)=5.3843952383881
log 2(41.78)=5.3847405872924
log 2(41.79)=5.3850858535477
log 2(41.8)=5.3854310371935
log 2(41.81)=5.3857761382694
log 2(41.82)=5.3861211568149
log 2(41.83)=5.3864660928693
log 2(41.84)=5.3868109464722
log 2(41.85)=5.387155717663
log 2(41.86)=5.387500406481
log 2(41.87)=5.3878450129656
log 2(41.88)=5.3881895371561
log 2(41.89)=5.3885339790918
log 2(41.9)=5.388878338812
log 2(41.91)=5.3892226163559
log 2(41.92)=5.3895668117627
log 2(41.93)=5.3899109250717
log 2(41.94)=5.3902549563219
log 2(41.95)=5.3905989055525
log 2(41.96)=5.3909427728025
log 2(41.97)=5.3912865581112
log 2(41.98)=5.3916302615174
log 2(41.99)=5.3919738830603
log 2(42)=5.3923174227788
log 2(42.01)=5.3926608807118
log 2(42.02)=5.3930042568983
log 2(42.03)=5.3933475513772
log 2(42.04)=5.3936907641874
log 2(42.05)=5.3940338953678
log 2(42.06)=5.3943769449571
log 2(42.07)=5.3947199129941
log 2(42.08)=5.3950627995176
log 2(42.09)=5.3954056045663
log 2(42.1)=5.395748328179
log 2(42.11)=5.3960909703944
log 2(42.12)=5.396433531251
log 2(42.13)=5.3967760107875
log 2(42.14)=5.3971184090426
log 2(42.15)=5.3974607260547
log 2(42.16)=5.3978029618625
log 2(42.17)=5.3981451165044
log 2(42.18)=5.398487190019
log 2(42.19)=5.3988291824446
log 2(42.2)=5.3991710938198
log 2(42.21)=5.399512924183
log 2(42.22)=5.3998546735724
log 2(42.23)=5.4001963420266
log 2(42.24)=5.4005379295837
log 2(42.25)=5.4008794362822
log 2(42.26)=5.4012208621602
log 2(42.27)=5.4015622072561
log 2(42.28)=5.401903471608
log 2(42.29)=5.4022446552541
log 2(42.3)=5.4025857582326
log 2(42.31)=5.4029267805816
log 2(42.32)=5.4032677223393
log 2(42.33)=5.4036085835437
log 2(42.34)=5.4039493642329
log 2(42.35)=5.4042900644448
log 2(42.36)=5.4046306842176
log 2(42.37)=5.4049712235892
log 2(42.38)=5.4053116825974
log 2(42.39)=5.4056520612804
log 2(42.4)=5.4059923596758
log 2(42.41)=5.4063325778217
log 2(42.42)=5.4066727157558
log 2(42.43)=5.407012773516
log 2(42.44)=5.40735275114
log 2(42.45)=5.4076926486657
log 2(42.46)=5.4080324661306
log 2(42.47)=5.4083722035727
log 2(42.48)=5.4087118610294
log 2(42.49)=5.4090514385386
log 2(42.5)=5.4093909361377
log 2(42.51)=5.4097303538644

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