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Log 2 (128)

Log 2 (128) is the logarithm of 128 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 (128) = 7.

Calculate Log Base 2 of 128

To solve the equation log 2 (128) = 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 = 128, a = 2:
    log 2 (128) = log(128) / log(2)
  3. Evaluate the term:
    log(128) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 7
    = Logarithm of 128 with base 2
Here’s the logarithm of 2 to the base 128.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 7 = 128
  • 2 7 = 128 is the exponential form of log2 (128)
  • 2 is the logarithm base of log2 (128)
  • 128 is the argument of log2 (128)
  • 7 is the exponent or power of 2 7 = 128
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 128?

Log2 (128) = 7.

How do you find the value of log 2128?

Carry out the change of base logarithm operation.

What does log 2 128 mean?

It means the logarithm of 128 with base 2.

How do you solve log base 2 128?

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

What is the log base 2 of 128?

The value is 7.

How do you write log 2 128 in exponential form?

In exponential form is 2 7 = 128.

What is log2 (128) equal to?

log base 2 of 128 = 7.

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 128 = 7.

You now know everything about the logarithm with base 2, argument 128 and exponent 7.
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 (128).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(127.5)=6.9943534368589
log 2(127.51)=6.994466584974
log 2(127.52)=6.9945797242157
log 2(127.53)=6.9946928545856
log 2(127.54)=6.9948059760849
log 2(127.55)=6.9949190887151
log 2(127.56)=6.9950321924775
log 2(127.57)=6.9951452873736
log 2(127.58)=6.9952583734047
log 2(127.59)=6.9953714505722
log 2(127.6)=6.9954845188775
log 2(127.61)=6.995597578322
log 2(127.62)=6.9957106289071
log 2(127.63)=6.9958236706342
log 2(127.64)=6.9959367035046
log 2(127.65)=6.9960497275198
log 2(127.66)=6.9961627426811
log 2(127.67)=6.9962757489899
log 2(127.68)=6.9963887464476
log 2(127.69)=6.9965017350557
log 2(127.7)=6.9966147148154
log 2(127.71)=6.9967276857281
log 2(127.72)=6.9968406477954
log 2(127.73)=6.9969536010184
log 2(127.74)=6.9970665453987
log 2(127.75)=6.9971794809376
log 2(127.76)=6.9972924076365
log 2(127.77)=6.9974053254968
log 2(127.78)=6.9975182345198
log 2(127.79)=6.9976311347069
log 2(127.8)=6.9977440260596
log 2(127.81)=6.9978569085792
log 2(127.82)=6.9979697822671
log 2(127.83)=6.9980826471247
log 2(127.84)=6.9981955031533
log 2(127.85)=6.9983083503543
log 2(127.86)=6.9984211887291
log 2(127.87)=6.9985340182792
log 2(127.88)=6.9986468390058
log 2(127.89)=6.9987596509104
log 2(127.9)=6.9988724539943
log 2(127.91)=6.9989852482589
log 2(127.92)=6.9990980337056
log 2(127.93)=6.9992108103358
log 2(127.94)=6.9993235781508
log 2(127.95)=6.9994363371521
log 2(127.96)=6.999549087341
log 2(127.97)=6.9996618287188
log 2(127.98)=6.999774561287
log 2(127.99)=6.9998872850469
log 2(128)=7
log 2(128.01)=7.0001127061475
log 2(128.02)=7.000225403491
log 2(128.03)=7.0003380920316
log 2(128.04)=7.0004507717709
log 2(128.05)=7.0005634427101
log 2(128.06)=7.0006761048507
log 2(128.07)=7.0007887581941
log 2(128.08)=7.0009014027415
log 2(128.09)=7.0010140384945
log 2(128.1)=7.0011266654543
log 2(128.11)=7.0012392836223
log 2(128.12)=7.001351893
log 2(128.13)=7.0014644935886
log 2(128.14)=7.0015770853895
log 2(128.15)=7.0016896684042
log 2(128.16)=7.001802242634
log 2(128.17)=7.0019148080802
log 2(128.18)=7.0020273647443
log 2(128.19)=7.0021399126275
log 2(128.2)=7.0022524517314
log 2(128.21)=7.0023649820572
log 2(128.22)=7.0024775036062
log 2(128.23)=7.00259001638
log 2(128.24)=7.0027025203798
log 2(128.25)=7.0028150156071
log 2(128.26)=7.0029275020631
log 2(128.27)=7.0030399797492
log 2(128.28)=7.0031524486669
log 2(128.29)=7.0032649088175
log 2(128.3)=7.0033773602023
log 2(128.31)=7.0034898028228
log 2(128.32)=7.0036022366802
log 2(128.33)=7.003714661776
log 2(128.34)=7.0038270781115
log 2(128.35)=7.0039394856881
log 2(128.36)=7.0040518845071
log 2(128.37)=7.0041642745699
log 2(128.38)=7.0042766558779
log 2(128.39)=7.0043890284325
log 2(128.4)=7.0045013922349
log 2(128.41)=7.0046137472867
log 2(128.42)=7.004726093589
log 2(128.43)=7.0048384311433
log 2(128.44)=7.004950759951
log 2(128.45)=7.0050630800135
log 2(128.46)=7.0051753913319
log 2(128.47)=7.0052876939079
log 2(128.48)=7.0053999877426
log 2(128.49)=7.0055122728375
log 2(128.5)=7.0056245491939
log 2(128.51)=7.0057368168132

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