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Log 2 (2)

Log 2 (2) is the logarithm of 2 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 (2) = 1.

Calculate Log Base 2 of 2

To solve the equation log 2 (2) = 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 = 2, a = 2:
    log 2 (2) = log(2) / log(2)
  3. Evaluate the term:
    log(2) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 1
    = Logarithm of 2 with base 2
Here’s the logarithm of 2 to the base 2.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 1 = 2
  • 2 1 = 2 is the exponential form of log2 (2)
  • 2 is the logarithm base of log2 (2)
  • 2 is the argument of log2 (2)
  • 1 is the exponent or power of 2 1 = 2
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 2?

Log2 (2) = 1.

How do you find the value of log 22?

Carry out the change of base logarithm operation.

What does log 2 2 mean?

It means the logarithm of 2 with base 2.

How do you solve log base 2 2?

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

What is the log base 2 of 2?

The value is 1.

How do you write log 2 2 in exponential form?

In exponential form is 2 1 = 2.

What is log2 (2) equal to?

log base 2 of 2 = 1.

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 2 = 1.

You now know everything about the logarithm with base 2, argument 2 and exponent 1.
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 (2).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(1.5)=0.58496250072116
log 2(1.51)=0.59454854955035
log 2(1.52)=0.60407132366886
log 2(1.53)=0.61353165291793
log 2(1.54)=0.62293035092018
log 2(1.55)=0.63226821549951
log 2(1.56)=0.64154602908752
log 2(1.57)=0.6507645591169
log 2(1.58)=0.65992455840238
log 2(1.59)=0.66902676550963
log 2(1.6)=0.67807190511264
log 2(1.61)=0.68706068833989
log 2(1.62)=0.6959938131099
log 2(1.63)=0.70487196445635
log 2(1.64)=0.71369581484336
log 2(1.65)=0.72246602447109
log 2(1.66)=0.7311832415722
log 2(1.67)=0.73984810269933
log 2(1.68)=0.74846123300404
log 2(1.69)=0.75702324650746
log 2(1.7)=0.76553474636298
log 2(1.71)=0.77399632511117
log 2(1.72)=0.78240856492737
log 2(1.73)=0.790772037862
log 2(1.74)=0.799087306074
log 2(1.75)=0.8073549220576
log 2(1.76)=0.81557542886257
log 2(1.77)=0.82374936030827
log 2(1.78)=0.83187724119167
log 2(1.79)=0.83995958748953
log 2(1.8)=0.84799690655495
log 2(1.81)=0.85598969730848
log 2(1.82)=0.86393845042397
log 2(1.83)=0.87184364850932
log 2(1.84)=0.87970576628229
log 2(1.85)=0.88752527074159
log 2(1.86)=0.89530262133331
log 2(1.87)=0.90303827011291
log 2(1.88)=0.91073266190291
log 2(1.89)=0.91838623444635
log 2(1.9)=0.92599941855622
log 2(1.91)=0.93357263826102
log 2(1.92)=0.94110631094643
log 2(1.93)=0.94860084749336
log 2(1.94)=0.9560566524124
log 2(1.95)=0.96347412397489
log 2(1.96)=0.97085365434048
log 2(1.97)=0.97819562968165
log 2(1.98)=0.98550043030489
log 2(1.99)=0.99276843076892
log 2(2)=1
log 2(2.01)=1.0071955014042
log 2(2.02)=1.0143552929771
log 2(2.03)=1.0214797274105
log 2(2.04)=1.0285691521968
log 2(2.05)=1.0356239097307
log 2(2.06)=1.0426443374085
log 2(2.07)=1.0496307677246
log 2(2.08)=1.0565835283664
log 2(2.09)=1.0635029423062
log 2(2.1)=1.0703893278914
log 2(2.11)=1.0772429989325
log 2(2.12)=1.0840642647885
log 2(2.13)=1.0908534304511
log 2(2.14)=1.0976107966264
log 2(2.15)=1.1043366598147
log 2(2.16)=1.1110313123887
log 2(2.17)=1.1176950426698
log 2(2.18)=1.1243281350022
log 2(2.19)=1.1309308698264
log 2(2.2)=1.1375035237499
log 2(2.21)=1.1440463696167
log 2(2.22)=1.1505596765754
log 2(2.23)=1.1570437101456
log 2(2.24)=1.1634987322829
log 2(2.25)=1.1699250014423
log 2(2.26)=1.1763227726405
log 2(2.27)=1.1826922975162
log 2(2.28)=1.18903382439
log 2(2.29)=1.1953475983222
log 2(2.3)=1.2016338611696
log 2(2.31)=1.2078928516413
log 2(2.32)=1.2141248053528
log 2(2.33)=1.2203299548796
log 2(2.34)=1.2265085298087
log 2(2.35)=1.2326607567903
log 2(2.36)=1.2387868595871
log 2(2.37)=1.2448870591235
log 2(2.38)=1.2509615735332
log 2(2.39)=1.257010618206
log 2(2.4)=1.2630344058338
log 2(2.41)=1.2690331464552
log 2(2.42)=1.2750070474999
log 2(2.43)=1.2809563138311
log 2(2.44)=1.2868811477882
log 2(2.45)=1.2927817492278
log 2(2.46)=1.2986583155645
log 2(2.47)=1.3045110418099
log 2(2.48)=1.3103401206121
log 2(2.49)=1.3161457422934
log 2(2.5)=1.3219280948874
log 2(2.51)=1.327687364176

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