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Log 27 (243)

Log 27 (243) is the logarithm of 243 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 (243) = 1.6666666666667.

Calculate Log Base 27 of 243

To solve the equation log 27 (243) = 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 = 243, a = 27:
    log 27 (243) = log(243) / log(27)
  3. Evaluate the term:
    log(243) / log(27)
    = 1.39794000867204 / 1.92427928606188
    = 1.6666666666667
    = Logarithm of 243 with base 27
Here’s the logarithm of 27 to the base 243.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 27 1.6666666666667 = 243
  • 27 1.6666666666667 = 243 is the exponential form of log27 (243)
  • 27 is the logarithm base of log27 (243)
  • 243 is the argument of log27 (243)
  • 1.6666666666667 is the exponent or power of 27 1.6666666666667 = 243
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 243?

Log27 (243) = 1.6666666666667.

How do you find the value of log 27243?

Carry out the change of base logarithm operation.

What does log 27 243 mean?

It means the logarithm of 243 with base 27.

How do you solve log base 27 243?

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

What is the log base 27 of 243?

The value is 1.6666666666667.

How do you write log 27 243 in exponential form?

In exponential form is 27 1.6666666666667 = 243.

What is log27 (243) equal to?

log base 27 of 243 = 1.6666666666667.
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 243 = 1.6666666666667.

You now know everything about the logarithm with base 27, argument 243 and exponent 1.6666666666667.
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 (243).

Table

Our quick conversion table is easy to use:
log 27(x) Value
log 27(242.5)=1.6660417167536
log 27(242.51)=1.666054228375
log 27(242.52)=1.6660667394805
log 27(242.53)=1.6660792500702
log 27(242.54)=1.666091760144
log 27(242.55)=1.666104269702
log 27(242.56)=1.6661167787444
log 27(242.57)=1.666129287271
log 27(242.58)=1.6661417952819
log 27(242.59)=1.6661543027772
log 27(242.6)=1.666166809757
log 27(242.61)=1.6661793162212
log 27(242.62)=1.66619182217
log 27(242.63)=1.6662043276033
log 27(242.64)=1.6662168325212
log 27(242.65)=1.6662293369237
log 27(242.66)=1.666241840811
log 27(242.67)=1.6662543441829
log 27(242.68)=1.6662668470397
log 27(242.69)=1.6662793493812
log 27(242.7)=1.6662918512076
log 27(242.71)=1.6663043525189
log 27(242.72)=1.6663168533151
log 27(242.73)=1.6663293535963
log 27(242.74)=1.6663418533625
log 27(242.75)=1.6663543526138
log 27(242.76)=1.6663668513502
log 27(242.77)=1.6663793495718
log 27(242.78)=1.6663918472785
log 27(242.79)=1.6664043444705
log 27(242.8)=1.6664168411478
log 27(242.81)=1.6664293373104
log 27(242.82)=1.6664418329583
log 27(242.83)=1.6664543280917
log 27(242.84)=1.6664668227105
log 27(242.85)=1.6664793168147
log 27(242.86)=1.6664918104046
log 27(242.87)=1.66650430348
log 27(242.88)=1.666516796041
log 27(242.89)=1.6665292880876
log 27(242.9)=1.66654177962
log 27(242.91)=1.6665542706381
log 27(242.92)=1.666566761142
log 27(242.93)=1.6665792511318
log 27(242.94)=1.6665917406074
log 27(242.95)=1.6666042295689
log 27(242.96)=1.6666167180164
log 27(242.97)=1.6666292059498
log 27(242.98)=1.6666416933694
log 27(242.99)=1.6666541802749
log 27(243)=1.6666666666667
log 27(243.01)=1.6666791525446
log 27(243.02)=1.6666916379086
log 27(243.03)=1.666704122759
log 27(243.04)=1.6667166070956
log 27(243.05)=1.6667290909186
log 27(243.06)=1.666741574228
log 27(243.07)=1.6667540570238
log 27(243.08)=1.666766539306
log 27(243.09)=1.6667790210747
log 27(243.1)=1.66679150233
log 27(243.11)=1.6668039830719
log 27(243.12)=1.6668164633004
log 27(243.13)=1.6668289430156
log 27(243.14)=1.6668414222175
log 27(243.15)=1.6668539009062
log 27(243.16)=1.6668663790817
log 27(243.17)=1.666878856744
log 27(243.18)=1.6668913338932
log 27(243.19)=1.6669038105293
log 27(243.2)=1.6669162866524
log 27(243.21)=1.6669287622625
log 27(243.22)=1.6669412373597
log 27(243.23)=1.6669537119439
log 27(243.24)=1.6669661860153
log 27(243.25)=1.6669786595739
log 27(243.26)=1.6669911326197
log 27(243.27)=1.6670036051528
log 27(243.28)=1.6670160771731
log 27(243.29)=1.6670285486808
log 27(243.3)=1.667041019676
log 27(243.31)=1.6670534901585
log 27(243.32)=1.6670659601285
log 27(243.33)=1.6670784295861
log 27(243.34)=1.6670908985312
log 27(243.35)=1.6671033669639
log 27(243.36)=1.6671158348842
log 27(243.37)=1.6671283022922
log 27(243.38)=1.667140769188
log 27(243.39)=1.6671532355715
log 27(243.4)=1.6671657014429
log 27(243.41)=1.6671781668021
log 27(243.42)=1.6671906316492
log 27(243.43)=1.6672030959842
log 27(243.44)=1.6672155598072
log 27(243.45)=1.6672280231183
log 27(243.46)=1.6672404859174
log 27(243.47)=1.6672529482046
log 27(243.48)=1.6672654099799
log 27(243.49)=1.6672778712435
log 27(243.5)=1.6672903319953
log 27(243.51)=1.6673027922353

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