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Log 2 (32)

Log 2 (32) is the logarithm of 32 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 (32) = 5.

Calculate Log Base 2 of 32

To solve the equation log 2 (32) = 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 = 32, a = 2:
    log 2 (32) = log(32) / log(2)
  3. Evaluate the term:
    log(32) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 5
    = Logarithm of 32 with base 2
Here’s the logarithm of 2 to the base 32.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 5 = 32
  • 2 5 = 32 is the exponential form of log2 (32)
  • 2 is the logarithm base of log2 (32)
  • 32 is the argument of log2 (32)
  • 5 is the exponent or power of 2 5 = 32
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 32?

Log2 (32) = 5.

How do you find the value of log 232?

Carry out the change of base logarithm operation.

What does log 2 32 mean?

It means the logarithm of 32 with base 2.

How do you solve log base 2 32?

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

What is the log base 2 of 32?

The value is 5.

How do you write log 2 32 in exponential form?

In exponential form is 2 5 = 32.

What is log2 (32) equal to?

log base 2 of 32 = 5.

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 32 = 5.

You now know everything about the logarithm with base 2, argument 32 and exponent 5.
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 (32).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(31.5)=4.9772799234999
log 2(31.51)=4.9777378492428
log 2(31.52)=4.9781956296817
log 2(31.53)=4.9786532649086
log 2(31.54)=4.9791107550158
log 2(31.55)=4.9795681000952
log 2(31.56)=4.9800253002387
log 2(31.57)=4.9804823555383
log 2(31.58)=4.9809392660855
log 2(31.59)=4.9813960319721
log 2(31.6)=4.9818526532897
log 2(31.61)=4.9823091301298
log 2(31.62)=4.9827654625836
log 2(31.63)=4.9832216507427
log 2(31.64)=4.9836776946981
log 2(31.65)=4.984133594541
log 2(31.66)=4.9845893503625
log 2(31.67)=4.9850449622535
log 2(31.68)=4.9855004303049
log 2(31.69)=4.9859557546075
log 2(31.7)=4.986410935252
log 2(31.71)=4.9868659723291
log 2(31.72)=4.9873208659293
log 2(31.73)=4.9877756161429
log 2(31.74)=4.9882302230605
log 2(31.75)=4.9886846867722
log 2(31.76)=4.9891390073682
log 2(31.77)=4.9895931849388
log 2(31.78)=4.9900472195738
log 2(31.79)=4.9905011113633
log 2(31.8)=4.990954860397
log 2(31.81)=4.9914084667648
log 2(31.82)=4.9918619305563
log 2(31.83)=4.9923152518612
log 2(31.84)=4.9927684307689
log 2(31.85)=4.9932214673689
log 2(31.86)=4.9936743617506
log 2(31.87)=4.9941271140031
log 2(31.88)=4.9945797242157
log 2(31.89)=4.9950321924775
log 2(31.9)=4.9954845188775
log 2(31.91)=4.9959367035046
log 2(31.92)=4.9963887464476
log 2(31.93)=4.9968406477954
log 2(31.94)=4.9972924076365
log 2(31.95)=4.9977440260596
log 2(31.96)=4.9981955031533
log 2(31.97)=4.9986468390058
log 2(31.98)=4.9990980337056
log 2(31.99)=4.999549087341
log 2(32)=5
log 2(32.01)=5.0004507717709
log 2(32.02)=5.0009014027415
log 2(32.03)=5.001351893
log 2(32.04)=5.001802242634
log 2(32.05)=5.0022524517314
log 2(32.06)=5.0027025203798
log 2(32.07)=5.0031524486669
log 2(32.08)=5.0036022366802
log 2(32.09)=5.0040518845071
log 2(32.1)=5.0045013922349
log 2(32.11)=5.004950759951
log 2(32.12)=5.0053999877426
log 2(32.13)=5.0058490756967
log 2(32.14)=5.0062980239004
log 2(32.15)=5.0067468324406
log 2(32.16)=5.0071955014042
log 2(32.17)=5.007644030878
log 2(32.18)=5.0080924209487
log 2(32.19)=5.008540671703
log 2(32.2)=5.0089887832273
log 2(32.21)=5.0094367556081
log 2(32.22)=5.0098845889318
log 2(32.23)=5.0103322832848
log 2(32.24)=5.0107798387532
log 2(32.25)=5.0112272554233
log 2(32.26)=5.0116745333809
log 2(32.27)=5.0121216727122
log 2(32.28)=5.0125686735031
log 2(32.29)=5.0130155358393
log 2(32.3)=5.0134622598066
log 2(32.31)=5.0139088454906
log 2(32.32)=5.0143552929771
log 2(32.33)=5.0148016023514
log 2(32.34)=5.0152477736989
log 2(32.35)=5.0156938071051
log 2(32.36)=5.0161397026553
log 2(32.37)=5.0165854604344
log 2(32.38)=5.0170310805278
log 2(32.39)=5.0174765630205
log 2(32.4)=5.0179219079973
log 2(32.41)=5.0183671155431
log 2(32.42)=5.0188121857428
log 2(32.43)=5.0192571186811
log 2(32.44)=5.0197019144425
log 2(32.45)=5.0201465731118
log 2(32.46)=5.0205910947732
log 2(32.47)=5.0210354795114
log 2(32.48)=5.0214797274105
log 2(32.49)=5.0219238385548
log 2(32.5)=5.0223678130285
log 2(32.51)=5.0228116509156

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