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Log 27 (3)

Log 27 (3) is the logarithm of 3 to the base 27:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log27 (3) = 0.33333333333333.

Calculate Log Base 27 of 3

To solve the equation log 27 (3) = 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 = 3, a = 27:
    log 27 (3) = log(3) / log(27)
  3. Evaluate the term:
    log(3) / log(27)
    = 1.39794000867204 / 1.92427928606188
    = 0.33333333333333
    = Logarithm of 3 with base 27
Here’s the logarithm of 27 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 27 0.33333333333333 = 3
  • 27 0.33333333333333 = 3 is the exponential form of log27 (3)
  • 27 is the logarithm base of log27 (3)
  • 3 is the argument of log27 (3)
  • 0.33333333333333 is the exponent or power of 27 0.33333333333333 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log27 3?

Log27 (3) = 0.33333333333333.

How do you find the value of log 273?

Carry out the change of base logarithm operation.

What does log 27 3 mean?

It means the logarithm of 3 with base 27.

How do you solve log base 27 3?

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

What is the log base 27 of 3?

The value is 0.33333333333333.

How do you write log 27 3 in exponential form?

In exponential form is 27 0.33333333333333 = 3.

What is log27 (3) equal to?

log base 27 of 3 = 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 27 of 3 = 0.33333333333333.

You now know everything about the logarithm with base 27, argument 3 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 Log27 (3).

Table

Our quick conversion table is easy to use:
log 27(x) Value
log 27(2.5)=0.27801458904882
log 27(2.51)=0.27922582049984
log 27(2.52)=0.28043223590852
log 27(2.53)=0.28163387342188
log 27(2.54)=0.28283077073549
log 27(2.55)=0.28402296510057
log 27(2.56)=0.28521049333096
log 27(2.57)=0.28639339180991
log 27(2.58)=0.28757169649679
log 27(2.59)=0.28874544293364
log 27(2.6)=0.28991466625162
log 27(2.61)=0.2910794011773
log 27(2.62)=0.29223968203884
log 27(2.63)=0.29339554277211
log 27(2.64)=0.29454701692658
log 27(2.65)=0.29569413767121
log 27(2.66)=0.29683693780016
log 27(2.67)=0.29797544973844
log 27(2.68)=0.29910970554738
log 27(2.69)=0.30023973693012
log 27(2.7)=0.30136557523687
log 27(2.71)=0.30248725147014
log 27(2.72)=0.30360479628987
log 27(2.73)=0.30471824001848
log 27(2.74)=0.30582761264576
log 27(2.75)=0.30693294383374
log 27(2.76)=0.30803426292147
log 27(2.77)=0.30913159892966
log 27(2.78)=0.31022498056529
log 27(2.79)=0.31131443622608
log 27(2.8)=0.31239999400498
log 27(2.81)=0.31348168169446
log 27(2.82)=0.31455952679081
log 27(2.83)=0.3156335564983
log 27(2.84)=0.31670379773334
log 27(2.85)=0.31777027712851
log 27(2.86)=0.31883302103654
log 27(2.87)=0.3198920555342
log 27(2.88)=0.32094740642617
log 27(2.89)=0.32199909924879
log 27(2.9)=0.32304715927376
log 27(2.91)=0.32409161151182
log 27(2.92)=0.32513248071629
log 27(2.93)=0.32616979138662
log 27(2.94)=0.32720356777184
log 27(2.95)=0.32823383387396
log 27(2.96)=0.32926061345129
log 27(2.97)=0.33028393002179
log 27(2.98)=0.33130380686623
log 27(2.99)=0.33232026703143
log 27(3)=0.33333333333333
log 27(3.01)=0.33434302836011
log 27(3.02)=0.33534937447518
log 27(3.03)=0.33635239382016
log 27(3.04)=0.33735210831781
log 27(3.05)=0.33834853967492
log 27(3.06)=0.33934170938508
log 27(3.07)=0.34033163873155
log 27(3.08)=0.3413183487899
log 27(3.09)=0.34230186043079
log 27(3.1)=0.34328219432254
log 27(3.11)=0.34425937093382
log 27(3.12)=0.34523341053613
log 27(3.13)=0.34620433320639
log 27(3.14)=0.34717215882937
log 27(3.15)=0.34813690710019
log 27(3.16)=0.34909859752667
log 27(3.17)=0.35005724943173
log 27(3.18)=0.35101288195572
log 27(3.19)=0.35196551405868
log 27(3.2)=0.35291516452263
log 27(3.21)=0.35386185195381
log 27(3.22)=0.35480559478479
log 27(3.23)=0.35574641127672
log 27(3.24)=0.35668431952138
log 27(3.25)=0.35761933744329
log 27(3.26)=0.35855148280178
log 27(3.27)=0.35948077319298
log 27(3.28)=0.36040722605185
log 27(3.29)=0.36133085865413
log 27(3.3)=0.36225168811825
log 27(3.31)=0.36316973140727
log 27(3.32)=0.36408500533073
log 27(3.33)=0.3649975265465
log 27(3.34)=0.36590731156262
log 27(3.35)=0.36681437673905
log 27(3.36)=0.36771873828949
log 27(3.37)=0.36862041228307
log 27(3.38)=0.36951941464609
log 27(3.39)=0.37041576116369
log 27(3.4)=0.37130946748154
log 27(3.41)=0.37220054910746
log 27(3.42)=0.37308902141302
log 27(3.43)=0.37397489963516
log 27(3.44)=0.37485819887776
log 27(3.45)=0.37573893411314
log 27(3.46)=0.37661712018364
log 27(3.47)=0.37749277180308
log 27(3.48)=0.37836590355827
log 27(3.49)=0.37923652991042
log 27(3.5)=0.38010466519665
log 27(3.51)=0.38097032363134

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