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Log 8 (2)

Log 8 (2) is the logarithm of 2 to the base 8:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log8 (2) = 0.33333333333333.

Calculate Log Base 8 of 2

To solve the equation log 8 (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 = 8:
    log 8 (2) = log(2) / log(8)
  3. Evaluate the term:
    log(2) / log(8)
    = 1.39794000867204 / 1.92427928606188
    = 0.33333333333333
    = Logarithm of 2 with base 8
Here’s the logarithm of 8 to the base 2.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 8 0.33333333333333 = 2
  • 8 0.33333333333333 = 2 is the exponential form of log8 (2)
  • 8 is the logarithm base of log8 (2)
  • 2 is the argument of log8 (2)
  • 0.33333333333333 is the exponent or power of 8 0.33333333333333 = 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 log8 2?

Log8 (2) = 0.33333333333333.

How do you find the value of log 82?

Carry out the change of base logarithm operation.

What does log 8 2 mean?

It means the logarithm of 2 with base 8.

How do you solve log base 8 2?

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

What is the log base 8 of 2?

The value is 0.33333333333333.

How do you write log 8 2 in exponential form?

In exponential form is 8 0.33333333333333 = 2.

What is log8 (2) equal to?

log base 8 of 2 = 0.33333333333333.
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 8 of 2 = 0.33333333333333.

You now know everything about the logarithm with base 8, argument 2 and exponent 0.33333333333333.
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 Log8 (2).

Table

Our quick conversion table is easy to use:
log 8(x) Value
log 8(1.5)=0.19498750024039
log 8(1.51)=0.19818284985012
log 8(1.52)=0.20135710788962
log 8(1.53)=0.20451055097264
log 8(1.54)=0.20764345030673
log 8(1.55)=0.21075607183317
log 8(1.56)=0.21384867636251
log 8(1.57)=0.21692151970563
log 8(1.58)=0.21997485280079
log 8(1.59)=0.22300892183654
log 8(1.6)=0.22602396837088
log 8(1.61)=0.22902022944663
log 8(1.62)=0.2319979377033
log 8(1.63)=0.23495732148545
log 8(1.64)=0.23789860494779
log 8(1.65)=0.24082200815703
log 8(1.66)=0.24372774719073
log 8(1.67)=0.24661603423311
log 8(1.68)=0.24948707766801
log 8(1.69)=0.25234108216915
log 8(1.7)=0.25517824878766
log 8(1.71)=0.25799877503706
log 8(1.72)=0.26080285497579
log 8(1.73)=0.26359067928733
log 8(1.74)=0.266362435358
log 8(1.75)=0.26911830735253
log 8(1.76)=0.27185847628752
log 8(1.77)=0.27458312010276
log 8(1.78)=0.27729241373056
log 8(1.79)=0.27998652916318
log 8(1.8)=0.28266563551832
log 8(1.81)=0.28532989910283
log 8(1.82)=0.28797948347466
log 8(1.83)=0.29061454950311
log 8(1.84)=0.29323525542743
log 8(1.85)=0.29584175691386
log 8(1.86)=0.2984342071111
log 8(1.87)=0.3010127567043
log 8(1.88)=0.30357755396764
log 8(1.89)=0.30612874481545
log 8(1.9)=0.30866647285207
log 8(1.91)=0.31119087942034
log 8(1.92)=0.31370210364881
log 8(1.93)=0.31620028249779
log 8(1.94)=0.31868555080413
log 8(1.95)=0.32115804132496
log 8(1.96)=0.32361788478016
log 8(1.97)=0.32606520989388
log 8(1.98)=0.32850014343496
log 8(1.99)=0.33092281025631
log 8(2)=0.33333333333333
log 8(2.01)=0.3357318338014
log 8(2.02)=0.33811843099236
log 8(2.03)=0.34049324247015
log 8(2.04)=0.34285638406559
log 8(2.05)=0.34520796991024
log 8(2.06)=0.3475481124695
log 8(2.07)=0.34987692257487
log 8(2.08)=0.35219450945546
log 8(2.09)=0.35450098076872
log 8(2.1)=0.35679644263047
log 8(2.11)=0.35908099964415
log 8(2.12)=0.36135475492949
log 8(2.13)=0.36361781015037
log 8(2.14)=0.36587026554214
log 8(2.15)=0.36811221993824
log 8(2.16)=0.37034377079625
log 8(2.17)=0.37256501422325
log 8(2.18)=0.37477604500073
log 8(2.19)=0.37697695660882
log 8(2.2)=0.37916784124998
log 8(2.21)=0.38134878987223
log 8(2.22)=0.38351989219179
log 8(2.23)=0.38568123671519
log 8(2.24)=0.38783291076096
log 8(2.25)=0.38997500048077
log 8(2.26)=0.39210759088015
log 8(2.27)=0.39423076583873
log 8(2.28)=0.39634460813
log 8(2.29)=0.39844919944074
log 8(2.3)=0.40054462038988
log 8(2.31)=0.40263095054711
log 8(2.32)=0.40470826845095
log 8(2.33)=0.40677665162652
log 8(2.34)=0.40883617660289
log 8(2.35)=0.41088691893009
log 8(2.36)=0.4129289531957
log 8(2.37)=0.41496235304118
log 8(2.38)=0.41698719117774
log 8(2.39)=0.41900353940201
log 8(2.4)=0.42101146861126
log 8(2.41)=0.42301104881841
log 8(2.42)=0.42500234916662
log 8(2.43)=0.42698543794368
log 8(2.44)=0.42896038259605
log 8(2.45)=0.43092724974261
log 8(2.46)=0.43288610518817
log 8(2.47)=0.43483701393665
log 8(2.48)=0.43678004020405
log 8(2.49)=0.43871524743112
log 8(2.5)=0.44064269829579
log 8(2.51)=0.44256245472535

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