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Log 6 (21)

Log 6 (21) is the logarithm of 21 to the base 6:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log6 (21) = 1.6991803252672.

Calculate Log Base 6 of 21

To solve the equation log 6 (21) = 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 = 21, a = 6:
    log 6 (21) = log(21) / log(6)
  3. Evaluate the term:
    log(21) / log(6)
    = 1.39794000867204 / 1.92427928606188
    = 1.6991803252672
    = Logarithm of 21 with base 6
Here’s the logarithm of 6 to the base 21.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 6 1.6991803252672 = 21
  • 6 1.6991803252672 = 21 is the exponential form of log6 (21)
  • 6 is the logarithm base of log6 (21)
  • 21 is the argument of log6 (21)
  • 1.6991803252672 is the exponent or power of 6 1.6991803252672 = 21
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log6 21?

Log6 (21) = 1.6991803252672.

How do you find the value of log 621?

Carry out the change of base logarithm operation.

What does log 6 21 mean?

It means the logarithm of 21 with base 6.

How do you solve log base 6 21?

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

What is the log base 6 of 21?

The value is 1.6991803252672.

How do you write log 6 21 in exponential form?

In exponential form is 6 1.6991803252672 = 21.

What is log6 (21) equal to?

log base 6 of 21 = 1.6991803252672.

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 6 of 21 = 1.6991803252672.

You now know everything about the logarithm with base 6, argument 21 and exponent 1.6991803252672.
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 Log6 (21).

Table

Our quick conversion table is easy to use:
log 6(x) Value
log 6(20.5)=1.685731225657
log 6(20.51)=1.6860034083625
log 6(20.52)=1.686275458393
log 6(20.53)=1.6865473758778
log 6(20.54)=1.6868191609461
log 6(20.55)=1.6870908137266
log 6(20.56)=1.6873623343481
log 6(20.57)=1.6876337229392
log 6(20.58)=1.6879049796281
log 6(20.59)=1.6881761045431
log 6(20.6)=1.6884470978121
log 6(20.61)=1.6887179595629
log 6(20.62)=1.6889886899231
log 6(20.63)=1.6892592890201
log 6(20.64)=1.689529756981
log 6(20.65)=1.6898000939331
log 6(20.66)=1.690070300003
log 6(20.67)=1.6903403753175
log 6(20.68)=1.6906103200031
log 6(20.69)=1.690880134186
log 6(20.7)=1.6911498179925
log 6(20.71)=1.6914193715483
log 6(20.72)=1.6916887949794
log 6(20.73)=1.6919580884112
log 6(20.74)=1.6922272519691
log 6(20.75)=1.6924962857784
log 6(20.76)=1.692765189964
log 6(20.77)=1.6930339646509
log 6(20.78)=1.6933026099637
log 6(20.79)=1.6935711260269
log 6(20.8)=1.6938395129648
log 6(20.81)=1.6941077709015
log 6(20.82)=1.6943758999609
log 6(20.83)=1.694643900267
log 6(20.84)=1.6949117719431
log 6(20.85)=1.6951795151128
log 6(20.86)=1.6954471298993
log 6(20.87)=1.6957146164257
log 6(20.88)=1.6959819748148
log 6(20.89)=1.6962492051893
log 6(20.9)=1.6965163076718
log 6(20.91)=1.6967832823846
log 6(20.92)=1.69705012945
log 6(20.93)=1.6973168489899
log 6(20.94)=1.6975834411261
log 6(20.95)=1.6978499059803
log 6(20.96)=1.698116243674
log 6(20.97)=1.6983824543285
log 6(20.98)=1.6986485380649
log 6(20.99)=1.6989144950042
log 6(21)=1.6991803252672
log 6(21.01)=1.6994460289744
log 6(21.02)=1.6997116062464
log 6(21.03)=1.6999770572034
log 6(21.04)=1.7002423819655
log 6(21.05)=1.7005075806526
log 6(21.06)=1.7007726533845
log 6(21.07)=1.7010376002808
log 6(21.08)=1.7013024214609
log 6(21.09)=1.701567117044
log 6(21.1)=1.7018316871492
log 6(21.11)=1.7020961318955
log 6(21.12)=1.7023604514015
log 6(21.13)=1.7026246457859
log 6(21.14)=1.702888715167
log 6(21.15)=1.7031526596631
log 6(21.16)=1.7034164793922
log 6(21.17)=1.7036801744723
log 6(21.18)=1.703943745021
log 6(21.19)=1.7042071911559
log 6(21.2)=1.7044705129945
log 6(21.21)=1.704733710654
log 6(21.22)=1.7049967842514
log 6(21.23)=1.7052597339036
log 6(21.24)=1.7055225597275
log 6(21.25)=1.7057852618394
log 6(21.26)=1.7060478403559
log 6(21.27)=1.7063102953932
log 6(21.28)=1.7065726270674
log 6(21.29)=1.7068348354944
log 6(21.3)=1.7070969207899
log 6(21.31)=1.7073588830696
log 6(21.32)=1.7076207224488
log 6(21.33)=1.7078824390428
log 6(21.34)=1.7081440329668
log 6(21.35)=1.7084055043356
log 6(21.36)=1.7086668532641
log 6(21.37)=1.7089280798668
log 6(21.38)=1.7091891842583
log 6(21.39)=1.7094501665527
log 6(21.4)=1.7097110268643
log 6(21.41)=1.7099717653071
log 6(21.42)=1.7102323819948
log 6(21.43)=1.7104928770411
log 6(21.44)=1.7107532505595
log 6(21.45)=1.7110135026633
log 6(21.46)=1.7112736334658
log 6(21.47)=1.7115336430798
log 6(21.48)=1.7117935316184
log 6(21.49)=1.7120532991942
log 6(21.5)=1.7123129459198

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