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Log 9 (27)

Log 9 (27) is the logarithm of 27 to the base 9:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log9 (27) = 1.5.

Calculate Log Base 9 of 27

To solve the equation log 9 (27) = 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 = 27, a = 9:
    log 9 (27) = log(27) / log(9)
  3. Evaluate the term:
    log(27) / log(9)
    = 1.39794000867204 / 1.92427928606188
    = 1.5
    = Logarithm of 27 with base 9
Here’s the logarithm of 9 to the base 27.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 9 1.5 = 27
  • 9 1.5 = 27 is the exponential form of log9 (27)
  • 9 is the logarithm base of log9 (27)
  • 27 is the argument of log9 (27)
  • 1.5 is the exponent or power of 9 1.5 = 27
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log9 27?

Log9 (27) = 1.5.

How do you find the value of log 927?

Carry out the change of base logarithm operation.

What does log 9 27 mean?

It means the logarithm of 27 with base 9.

How do you solve log base 9 27?

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

What is the log base 9 of 27?

The value is 1.5.

How do you write log 9 27 in exponential form?

In exponential form is 9 1.5 = 27.

What is log9 (27) equal to?

log base 9 of 27 = 1.5.

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 9 of 27 = 1.5.

You now know everything about the logarithm with base 9, argument 27 and exponent 1.5.
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 Log9 (27).

Table

Our quick conversion table is easy to use:
log 9(x) Value
log 9(26.5)=1.4914928436515
log 9(26.51)=1.4916645545056
log 9(26.52)=1.4918362005998
log 9(26.53)=1.4920077819829
log 9(26.54)=1.4921792987037
log 9(26.55)=1.4923507508109
log 9(26.56)=1.4925221383533
log 9(26.57)=1.4926934613793
log 9(26.58)=1.4928647199376
log 9(26.59)=1.4930359140767
log 9(26.6)=1.4932070438449
log 9(26.61)=1.4933781092908
log 9(26.62)=1.4935491104626
log 9(26.63)=1.4937200474085
log 9(26.64)=1.4938909201769
log 9(26.65)=1.494061728816
log 9(26.66)=1.4942324733737
log 9(26.67)=1.4944031538982
log 9(26.68)=1.4945737704375
log 9(26.69)=1.4947443230396
log 9(26.7)=1.4949148117523
log 9(26.71)=1.4950852366236
log 9(26.72)=1.4952555977011
log 9(26.73)=1.4954258950327
log 9(26.74)=1.495596128666
log 9(26.75)=1.4957662986486
log 9(26.76)=1.4959364050282
log 9(26.77)=1.4961064478523
log 9(26.78)=1.4962764271683
log 9(26.79)=1.4964463430237
log 9(26.8)=1.4966161954658
log 9(26.81)=1.4967859845419
log 9(26.82)=1.4969557102994
log 9(26.83)=1.4971253727853
log 9(26.84)=1.4972949720469
log 9(26.85)=1.4974645081313
log 9(26.86)=1.4976339810856
log 9(26.87)=1.4978033909566
log 9(26.88)=1.4979727377914
log 9(26.89)=1.4981420216369
log 9(26.9)=1.4983112425399
log 9(26.91)=1.4984804005471
log 9(26.92)=1.4986494957054
log 9(26.93)=1.4988185280614
log 9(26.94)=1.4989874976618
log 9(26.95)=1.4991564045531
log 9(26.96)=1.4993252487818
log 9(26.97)=1.4994940303945
log 9(26.98)=1.4996627494375
log 9(26.99)=1.4998314059572
log 9(27)=1.5
log 9(27.01)=1.5001685316121
log 9(27.02)=1.5003370008398
log 9(27.03)=1.5005054077291
log 9(27.04)=1.5006737523263
log 9(27.05)=1.5008420346774
log 9(27.06)=1.5010102548284
log 9(27.07)=1.5011784128252
log 9(27.08)=1.5013465087139
log 9(27.09)=1.5015145425402
log 9(27.1)=1.5016825143499
log 9(27.11)=1.5018504241889
log 9(27.12)=1.5020182721027
log 9(27.13)=1.5021860581372
log 9(27.14)=1.5023537823378
log 9(27.15)=1.5025214447502
log 9(27.16)=1.5026890454199
log 9(27.17)=1.5028565843923
log 9(27.18)=1.5030240617128
log 9(27.19)=1.5031914774267
log 9(27.2)=1.5033588315795
log 9(27.21)=1.5035261242163
log 9(27.22)=1.5036933553824
log 9(27.23)=1.5038605251228
log 9(27.24)=1.5040276334828
log 9(27.25)=1.5041946805074
log 9(27.26)=1.5043616662415
log 9(27.27)=1.5045285907302
log 9(27.28)=1.5046954540184
log 9(27.29)=1.5048622561508
log 9(27.3)=1.5050289971724
log 9(27.31)=1.5051956771279
log 9(27.32)=1.5053622960619
log 9(27.33)=1.5055288540193
log 9(27.34)=1.5056953510445
log 9(27.35)=1.5058617871821
log 9(27.36)=1.5060281624767
log 9(27.37)=1.5061944769727
log 9(27.38)=1.5063607307146
log 9(27.39)=1.5065269237467
log 9(27.4)=1.5066930561133
log 9(27.41)=1.5068591278588
log 9(27.42)=1.5070251390272
log 9(27.43)=1.5071910896629
log 9(27.44)=1.5073569798099
log 9(27.45)=1.5075228095124
log 9(27.46)=1.5076885788143
log 9(27.47)=1.5078542877596
log 9(27.48)=1.5080199363923
log 9(27.49)=1.5081855247563
log 9(27.5)=1.5083510528953

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