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Log 3 (321)

Log 3 (321) is the logarithm of 321 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 (321) = 5.2533921044402.

Calculate Log Base 3 of 321

To solve the equation log 3 (321) = 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 = 321, a = 3:
    log 3 (321) = log(321) / log(3)
  3. Evaluate the term:
    log(321) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.2533921044402
    = Logarithm of 321 with base 3
Here’s the logarithm of 3 to the base 321.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.2533921044402 = 321
  • 3 5.2533921044402 = 321 is the exponential form of log3 (321)
  • 3 is the logarithm base of log3 (321)
  • 321 is the argument of log3 (321)
  • 5.2533921044402 is the exponent or power of 3 5.2533921044402 = 321
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 321?

Log3 (321) = 5.2533921044402.

How do you find the value of log 3321?

Carry out the change of base logarithm operation.

What does log 3 321 mean?

It means the logarithm of 321 with base 3.

How do you solve log base 3 321?

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

What is the log base 3 of 321?

The value is 5.2533921044402.

How do you write log 3 321 in exponential form?

In exponential form is 3 5.2533921044402 = 321.

What is log3 (321) equal to?

log base 3 of 321 = 5.2533921044402.
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 321 = 5.2533921044402.

You now know everything about the logarithm with base 3, argument 321 and exponent 5.2533921044402.
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 (321).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(320.5)=5.2519731809625
log 3(320.51)=5.2520015811193
log 3(320.52)=5.2520299803901
log 3(320.53)=5.2520583787748
log 3(320.54)=5.2520867762736
log 3(320.55)=5.2521151728864
log 3(320.56)=5.2521435686134
log 3(320.57)=5.2521719634546
log 3(320.58)=5.2522003574101
log 3(320.59)=5.2522287504798
log 3(320.6)=5.2522571426639
log 3(320.61)=5.2522855339625
log 3(320.62)=5.2523139243755
log 3(320.63)=5.252342313903
log 3(320.64)=5.2523707025451
log 3(320.65)=5.2523990903019
log 3(320.66)=5.2524274771734
log 3(320.67)=5.2524558631596
log 3(320.68)=5.2524842482606
log 3(320.69)=5.2525126324765
log 3(320.7)=5.2525410158072
log 3(320.71)=5.252569398253
log 3(320.72)=5.2525977798138
log 3(320.73)=5.2526261604896
log 3(320.74)=5.2526545402806
log 3(320.75)=5.2526829191868
log 3(320.76)=5.2527112972083
log 3(320.77)=5.252739674345
log 3(320.78)=5.2527680505971
log 3(320.79)=5.2527964259646
log 3(320.8)=5.2528248004476
log 3(320.81)=5.2528531740461
log 3(320.82)=5.2528815467602
log 3(320.83)=5.2529099185899
log 3(320.84)=5.2529382895353
log 3(320.85)=5.2529666595964
log 3(320.86)=5.2529950287734
log 3(320.87)=5.2530233970662
log 3(320.88)=5.2530517644749
log 3(320.89)=5.2530801309995
log 3(320.9)=5.2531084966402
log 3(320.91)=5.253136861397
log 3(320.92)=5.2531652252699
log 3(320.93)=5.2531935882589
log 3(320.94)=5.2532219503642
log 3(320.95)=5.2532503115858
log 3(320.96)=5.2532786719238
log 3(320.97)=5.2533070313782
log 3(320.98)=5.253335389949
log 3(320.99)=5.2533637476363
log 3(321)=5.2533921044402
log 3(321.01)=5.2534204603607
log 3(321.02)=5.2534488153979
log 3(321.03)=5.2534771695518
log 3(321.04)=5.2535055228226
log 3(321.05)=5.2535338752101
log 3(321.06)=5.2535622267146
log 3(321.07)=5.253590577336
log 3(321.08)=5.2536189270745
log 3(321.09)=5.25364727593
log 3(321.1)=5.2536756239026
log 3(321.11)=5.2537039709924
log 3(321.12)=5.2537323171994
log 3(321.13)=5.2537606625237
log 3(321.14)=5.2537890069653
log 3(321.15)=5.2538173505244
log 3(321.16)=5.2538456932009
log 3(321.17)=5.2538740349948
log 3(321.18)=5.2539023759064
log 3(321.19)=5.2539307159356
log 3(321.2)=5.2539590550824
log 3(321.21)=5.2539873933469
log 3(321.22)=5.2540157307293
log 3(321.23)=5.2540440672295
log 3(321.24)=5.2540724028475
log 3(321.25)=5.2541007375835
log 3(321.26)=5.2541290714375
log 3(321.27)=5.2541574044096
log 3(321.28)=5.2541857364997
log 3(321.29)=5.2542140677081
log 3(321.3)=5.2542423980346
log 3(321.31)=5.2542707274794
log 3(321.32)=5.2542990560426
log 3(321.33)=5.2543273837241
log 3(321.34)=5.2543557105241
log 3(321.35)=5.2543840364425
log 3(321.36)=5.2544123614795
log 3(321.37)=5.2544406856351
log 3(321.38)=5.2544690089094
log 3(321.39)=5.2544973313024
log 3(321.4)=5.2545256528141
log 3(321.41)=5.2545539734447
log 3(321.42)=5.2545822931941
log 3(321.43)=5.2546106120625
log 3(321.44)=5.2546389300499
log 3(321.45)=5.2546672471563
log 3(321.46)=5.2546955633818
log 3(321.47)=5.2547238787264
log 3(321.48)=5.2547521931903
log 3(321.49)=5.2547805067734
log 3(321.5)=5.2548088194758
log 3(321.51)=5.2548371312976

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