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Log 9 (3)

Log 9 (3) is the logarithm of 3 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 (3) = 0.5.

Calculate Log Base 9 of 3

To solve the equation log 9 (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 = 9:
    log 9 (3) = log(3) / log(9)
  3. Evaluate the term:
    log(3) / log(9)
    = 1.39794000867204 / 1.92427928606188
    = 0.5
    = Logarithm of 3 with base 9
Here’s the logarithm of 9 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 9 0.5 = 3
  • 9 0.5 = 3 is the exponential form of log9 (3)
  • 9 is the logarithm base of log9 (3)
  • 3 is the argument of log9 (3)
  • 0.5 is the exponent or power of 9 0.5 = 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 log9 3?

Log9 (3) = 0.5.

How do you find the value of log 93?

Carry out the change of base logarithm operation.

What does log 9 3 mean?

It means the logarithm of 3 with base 9.

How do you solve log base 9 3?

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

What is the log base 9 of 3?

The value is 0.5.

How do you write log 9 3 in exponential form?

In exponential form is 9 0.5 = 3.

What is log9 (3) equal to?

log base 9 of 3 = 0.5.

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 3 = 0.5.

You now know everything about the logarithm with base 9, argument 3 and exponent 0.5.
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 (3).

Table

Our quick conversion table is easy to use:
log 9(x) Value
log 9(2.5)=0.41702188357323
log 9(2.51)=0.41883873074977
log 9(2.52)=0.42064835386278
log 9(2.53)=0.42245081013282
log 9(2.54)=0.42424615610323
log 9(2.55)=0.42603444765086
log 9(2.56)=0.42781573999644
log 9(2.57)=0.42959008771487
log 9(2.58)=0.43135754474518
log 9(2.59)=0.43311816440046
log 9(2.6)=0.43487199937743
log 9(2.61)=0.43661910176595
log 9(2.62)=0.43835952305827
log 9(2.63)=0.44009331415817
log 9(2.64)=0.44182052538987
log 9(2.65)=0.44354120650681
log 9(2.66)=0.44525540670024
log 9(2.67)=0.44696317460765
log 9(2.68)=0.44866455832107
log 9(2.69)=0.45035960539519
log 9(2.7)=0.45204836285531
log 9(2.71)=0.45373087720521
log 9(2.72)=0.45540719443481
log 9(2.73)=0.45707736002772
log 9(2.74)=0.45874141896864
log 9(2.75)=0.46039941575061
log 9(2.76)=0.46205139438221
log 9(2.77)=0.46369739839449
log 9(2.78)=0.46533747084793
log 9(2.79)=0.46697165433912
log 9(2.8)=0.46859999100748
log 9(2.81)=0.4702225225417
log 9(2.82)=0.47183929018621
log 9(2.83)=0.47345033474744
log 9(2.84)=0.47505569660001
log 9(2.85)=0.47665541569277
log 9(2.86)=0.47824953155481
log 9(2.87)=0.4798380833013
log 9(2.88)=0.48142110963926
log 9(2.89)=0.48299864887318
log 9(2.9)=0.48457073891064
log 9(2.91)=0.48613741726772
log 9(2.92)=0.48769872107443
log 9(2.93)=0.48925468707993
log 9(2.94)=0.49080535165776
log 9(2.95)=0.49235075081093
log 9(2.96)=0.49389092017694
log 9(2.97)=0.49542589503268
log 9(2.98)=0.49695571029935
log 9(2.99)=0.49848040054715
log 9(3)=0.5
log 9(3.01)=0.50151454254016
log 9(3.02)=0.50302406171276
log 9(3.03)=0.50452859073023
log 9(3.04)=0.50602816247672
log 9(3.05)=0.50752280951237
log 9(3.06)=0.50901256407763
log 9(3.07)=0.51049745809732
log 9(3.08)=0.51197752318485
log 9(3.09)=0.51345279064618
log 9(3.1)=0.51492329148381
log 9(3.11)=0.51638905640073
log 9(3.12)=0.5178501158042
log 9(3.13)=0.51930649980958
log 9(3.14)=0.52075823824406
log 9(3.15)=0.52220536065029
log 9(3.16)=0.52364789629001
log 9(3.17)=0.5250858741476
log 9(3.18)=0.52651932293358
log 9(3.19)=0.52794827108801
log 9(3.2)=0.52937274678395
log 9(3.21)=0.53079277793071
log 9(3.22)=0.53220839217719
log 9(3.23)=0.53361961691508
log 9(3.24)=0.53502647928207
log 9(3.25)=0.53642900616494
log 9(3.26)=0.53782722420266
log 9(3.27)=0.53922115978947
log 9(3.28)=0.54061083907778
log 9(3.29)=0.54199628798119
log 9(3.3)=0.54337753217737
log 9(3.31)=0.5447545971109
log 9(3.32)=0.54612750799609
log 9(3.33)=0.54749628981975
log 9(3.34)=0.54886096734392
log 9(3.35)=0.55022156510858
log 9(3.36)=0.55157810743424
log 9(3.37)=0.55293061842461
log 9(3.38)=0.55427912196913
log 9(3.39)=0.55562364174554
log 9(3.4)=0.55696420122232
log 9(3.41)=0.55830082366119
log 9(3.42)=0.55963353211953
log 9(3.43)=0.56096234945275
log 9(3.44)=0.56228729831664
log 9(3.45)=0.56360840116971
log 9(3.46)=0.56492568027546
log 9(3.47)=0.56623915770463
log 9(3.48)=0.5675488553374
log 9(3.49)=0.56885479486564
log 9(3.5)=0.57015699779498
log 9(3.51)=0.57145548544701

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