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Log 3 (3)

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

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (3) = 1.

Calculate Log Base 3 of 3

To solve the equation log 3 (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 = 3:
    log 3 (3) = log(3) / log(3)
  3. Evaluate the term:
    log(3) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 1
    = Logarithm of 3 with base 3
Here’s the logarithm of 3 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 1 = 3
  • 3 1 = 3 is the exponential form of log3 (3)
  • 3 is the logarithm base of log3 (3)
  • 3 is the argument of log3 (3)
  • 1 is the exponent or power of 3 1 = 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 log3 3?

Log3 (3) = 1.

How do you find the value of log 33?

Carry out the change of base logarithm operation.

What does log 3 3 mean?

It means the logarithm of 3 with base 3.

How do you solve log base 3 3?

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

What is the log base 3 of 3?

The value is 1.

How do you write log 3 3 in exponential form?

In exponential form is 3 1 = 3.

What is log3 (3) equal to?

log base 3 of 3 = 1.

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 3 of 3 = 1.

You now know everything about the logarithm with base 3, argument 3 and exponent 1.
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 Log3 (3).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(2.5)=0.83404376714647
log 3(2.51)=0.83767746149953
log 3(2.52)=0.84129670772557
log 3(2.53)=0.84490162026564
log 3(2.54)=0.84849231220647
log 3(2.55)=0.85206889530172
log 3(2.56)=0.85563147999289
log 3(2.57)=0.85918017542973
log 3(2.58)=0.86271508949037
log 3(2.59)=0.86623632880093
log 3(2.6)=0.86974399875486
log 3(2.61)=0.87323820353189
log 3(2.62)=0.87671904611653
log 3(2.63)=0.88018662831633
log 3(2.64)=0.88364105077974
log 3(2.65)=0.88708241301363
log 3(2.66)=0.89051081340048
log 3(2.67)=0.89392634921531
log 3(2.68)=0.89732911664215
log 3(2.69)=0.90071921079037
log 3(2.7)=0.90409672571061
log 3(2.71)=0.90746175441042
log 3(2.72)=0.91081438886962
log 3(2.73)=0.91415472005544
log 3(2.74)=0.91748283793727
log 3(2.75)=0.92079883150122
log 3(2.76)=0.92410278876441
log 3(2.77)=0.92739479678899
log 3(2.78)=0.93067494169586
log 3(2.79)=0.93394330867824
log 3(2.8)=0.93719998201495
log 3(2.81)=0.94044504508339
log 3(2.82)=0.94367858037242
log 3(2.83)=0.94690066949489
log 3(2.84)=0.95011139320001
log 3(2.85)=0.95331083138553
log 3(2.86)=0.95649906310962
log 3(2.87)=0.95967616660261
log 3(2.88)=0.96284221927852
log 3(2.89)=0.96599729774636
log 3(2.9)=0.96914147782128
log 3(2.91)=0.97227483453545
log 3(2.92)=0.97539744214887
log 3(2.93)=0.97850937415987
log 3(2.94)=0.98161070331553
log 3(2.95)=0.98470150162187
log 3(2.96)=0.98778184035387
log 3(2.97)=0.99085179006537
log 3(2.98)=0.9939114205987
log 3(2.99)=0.99696080109429
log 3(3)=1
log 3(3.01)=1.0030290850803
log 3(3.02)=1.0060481234255
log 3(3.03)=1.0090571814605
log 3(3.04)=1.0120563249534
log 3(3.05)=1.0150456190247
log 3(3.06)=1.0180251281553
log 3(3.07)=1.0209949161946
log 3(3.08)=1.0239550463697
log 3(3.09)=1.0269055812924
log 3(3.1)=1.0298465829676
log 3(3.11)=1.0327781128015
log 3(3.12)=1.0357002316084
log 3(3.13)=1.0386129996192
log 3(3.14)=1.0415164764881
log 3(3.15)=1.0444107213006
log 3(3.16)=1.04729579258
log 3(3.17)=1.0501717482952
log 3(3.18)=1.0530386458672
log 3(3.19)=1.055896542176
log 3(3.2)=1.0587454935679
log 3(3.21)=1.0615855558614
log 3(3.22)=1.0644167843544
log 3(3.23)=1.0672392338302
log 3(3.24)=1.0700529585641
log 3(3.25)=1.0728580123299
log 3(3.26)=1.0756544484053
log 3(3.27)=1.0784423195789
log 3(3.28)=1.0812216781556
log 3(3.29)=1.0839925759624
log 3(3.3)=1.0867550643547
log 3(3.31)=1.0895091942218
log 3(3.32)=1.0922550159922
log 3(3.33)=1.0949925796395
log 3(3.34)=1.0977219346878
log 3(3.35)=1.1004431302172
log 3(3.36)=1.1031562148685
log 3(3.37)=1.1058612368492
log 3(3.38)=1.1085582439383
log 3(3.39)=1.1112472834911
log 3(3.4)=1.1139284024446
log 3(3.41)=1.1166016473224
log 3(3.42)=1.1192670642391
log 3(3.43)=1.1219246989055
log 3(3.44)=1.1245745966333
log 3(3.45)=1.1272168023394
log 3(3.46)=1.1298513605509
log 3(3.47)=1.1324783154093
log 3(3.48)=1.1350977106748
log 3(3.49)=1.1377095897313
log 3(3.5)=1.14031399559
log 3(3.51)=1.142910970894

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