Home » Logarithms of 3 » Log3 (72)

Log 3 (72)

Log 3 (72) is the logarithm of 72 to the base 3:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (72) = 3.8927892607144.

Calculate Log Base 3 of 72

To solve the equation log 3 (72) = 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 = 72, a = 3:
    log 3 (72) = log(72) / log(3)
  3. Evaluate the term:
    log(72) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.8927892607144
    = Logarithm of 72 with base 3
Here’s the logarithm of 3 to the base 72.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.8927892607144 = 72
  • 3 3.8927892607144 = 72 is the exponential form of log3 (72)
  • 3 is the logarithm base of log3 (72)
  • 72 is the argument of log3 (72)
  • 3.8927892607144 is the exponent or power of 3 3.8927892607144 = 72
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 72?

Log3 (72) = 3.8927892607144.

How do you find the value of log 372?

Carry out the change of base logarithm operation.

What does log 3 72 mean?

It means the logarithm of 72 with base 3.

How do you solve log base 3 72?

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

What is the log base 3 of 72?

The value is 3.8927892607144.

How do you write log 3 72 in exponential form?

In exponential form is 3 3.8927892607144 = 72.

What is log3 (72) equal to?

log base 3 of 72 = 3.8927892607144.
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 72 = 3.8927892607144.

You now know everything about the logarithm with base 3, argument 72 and exponent 3.8927892607144.
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 (72).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(71.5)=3.8864461045455
log 3(71.51)=3.8865734018293
log 3(71.52)=3.8867006813131
log 3(71.53)=3.8868279430017
log 3(71.54)=3.8869551869003
log 3(71.55)=3.8870824130136
log 3(71.56)=3.8872096213468
log 3(71.57)=3.8873368119048
log 3(71.58)=3.8874639846925
log 3(71.59)=3.8875911397149
log 3(71.6)=3.8877182769771
log 3(71.61)=3.8878453964838
log 3(71.62)=3.8879724982402
log 3(71.63)=3.8880995822511
log 3(71.64)=3.8882266485215
log 3(71.65)=3.8883536970563
log 3(71.66)=3.8884807278606
log 3(71.67)=3.8886077409393
log 3(71.68)=3.8887347362972
log 3(71.69)=3.8888617139394
log 3(71.7)=3.8889886738708
log 3(71.71)=3.8891156160963
log 3(71.72)=3.8892425406209
log 3(71.73)=3.8893694474495
log 3(71.74)=3.8894963365871
log 3(71.75)=3.8896232080385
log 3(71.76)=3.8897500618087
log 3(71.77)=3.8898768979026
log 3(71.78)=3.8900037163252
log 3(71.79)=3.8901305170813
log 3(71.8)=3.890257300176
log 3(71.81)=3.8903840656141
log 3(71.82)=3.8905108134005
log 3(71.83)=3.8906375435401
log 3(71.84)=3.890764256038
log 3(71.85)=3.8908909508989
log 3(71.86)=3.8910176281277
log 3(71.87)=3.8911442877295
log 3(71.88)=3.8912709297091
log 3(71.89)=3.8913975540713
log 3(71.9)=3.8915241608212
log 3(71.91)=3.8916507499635
log 3(71.92)=3.8917773215033
log 3(71.93)=3.8919038754453
log 3(71.94)=3.8920304117945
log 3(71.95)=3.8921569305558
log 3(71.96)=3.8922834317341
log 3(71.97)=3.8924099153342
log 3(71.98)=3.892536381361
log 3(71.99)=3.8926628298194
log 3(72)=3.8927892607144
log 3(72.01)=3.8929156740507
log 3(72.02)=3.8930420698332
log 3(72.03)=3.8931684480669
log 3(72.04)=3.8932948087566
log 3(72.05)=3.8934211519071
log 3(72.06)=3.8935474775234
log 3(72.07)=3.8936737856103
log 3(72.08)=3.8938000761726
log 3(72.09)=3.8939263492153
log 3(72.1)=3.8940526047432
log 3(72.11)=3.8941788427611
log 3(72.12)=3.8943050632739
log 3(72.13)=3.8944312662864
log 3(72.14)=3.8945574518036
log 3(72.15)=3.8946836198302
log 3(72.16)=3.8948097703712
log 3(72.17)=3.8949359034312
log 3(72.18)=3.8950620190153
log 3(72.19)=3.8951881171282
log 3(72.2)=3.8953141977748
log 3(72.21)=3.8954402609599
log 3(72.22)=3.8955663066884
log 3(72.23)=3.895692334965
log 3(72.24)=3.8958183457947
log 3(72.25)=3.8959443391822
log 3(72.26)=3.8960703151324
log 3(72.27)=3.8961962736501
log 3(72.28)=3.8963222147401
log 3(72.29)=3.8964481384073
log 3(72.3)=3.8965740446564
log 3(72.31)=3.8966999334923
log 3(72.32)=3.8968258049198
log 3(72.33)=3.8969516589438
log 3(72.34)=3.8970774955689
log 3(72.35)=3.8972033148001
log 3(72.36)=3.8973291166422
log 3(72.37)=3.8974549010998
log 3(72.38)=3.897580668178
log 3(72.39)=3.8977064178814
log 3(72.4)=3.8978321502149
log 3(72.41)=3.8979578651832
log 3(72.42)=3.8980835627911
log 3(72.43)=3.8982092430435
log 3(72.44)=3.8983349059452
log 3(72.45)=3.8984605515009
log 3(72.46)=3.8985861797153
log 3(72.47)=3.8987117905934
log 3(72.480000000001)=3.8988373841399
log 3(72.490000000001)=3.8989629603595
log 3(72.500000000001)=3.8990885192571

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top