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Log 3 (12)

Log 3 (12) is the logarithm of 12 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 (12) = 2.2618595071429.

Calculate Log Base 3 of 12

To solve the equation log 3 (12) = 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 = 12, a = 3:
    log 3 (12) = log(12) / log(3)
  3. Evaluate the term:
    log(12) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 2.2618595071429
    = Logarithm of 12 with base 3
Here’s the logarithm of 3 to the base 12.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 2.2618595071429 = 12
  • 3 2.2618595071429 = 12 is the exponential form of log3 (12)
  • 3 is the logarithm base of log3 (12)
  • 12 is the argument of log3 (12)
  • 2.2618595071429 is the exponent or power of 3 2.2618595071429 = 12
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 12?

Log3 (12) = 2.2618595071429.

How do you find the value of log 312?

Carry out the change of base logarithm operation.

What does log 3 12 mean?

It means the logarithm of 12 with base 3.

How do you solve log base 3 12?

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

What is the log base 3 of 12?

The value is 2.2618595071429.

How do you write log 3 12 in exponential form?

In exponential form is 3 2.2618595071429 = 12.

What is log3 (12) equal to?

log base 3 of 12 = 2.2618595071429.
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 12 = 2.2618595071429.

You now know everything about the logarithm with base 3, argument 12 and exponent 2.2618595071429.
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 (12).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(11.5)=2.2231200766288
log 3(11.51)=2.2239112450633
log 3(11.52)=2.2247017264214
log 3(11.53)=2.2254915218954
log 3(11.54)=2.2262806326744
log 3(11.55)=2.2270690599447
log 3(11.56)=2.2278568048893
log 3(11.57)=2.2286438686881
log 3(11.58)=2.2294302525181
log 3(11.59)=2.2302159575532
log 3(11.6)=2.2310009849642
log 3(11.61)=2.2317853359189
log 3(11.62)=2.2325690115821
log 3(11.63)=2.2333520131157
log 3(11.64)=2.2341343416784
log 3(11.65)=2.234915998426
log 3(11.66)=2.2356969845113
log 3(11.67)=2.2364773010843
log 3(11.68)=2.2372569492918
log 3(11.69)=2.2380359302778
log 3(11.7)=2.2388142451834
log 3(11.71)=2.2395918951467
log 3(11.72)=2.2403688813028
log 3(11.73)=2.2411452047841
log 3(11.74)=2.2419208667199
log 3(11.75)=2.2426958682368
log 3(11.76)=2.2434702104584
log 3(11.77)=2.2442438945056
log 3(11.78)=2.2450169214961
log 3(11.79)=2.2457892925451
log 3(11.8)=2.2465610087648
log 3(11.81)=2.2473320712646
log 3(11.82)=2.2481024811512
log 3(11.83)=2.2488722395282
log 3(11.84)=2.2496413474968
log 3(11.85)=2.250409806155
log 3(11.86)=2.2511776165984
log 3(11.87)=2.2519447799195
log 3(11.88)=2.2527112972083
log 3(11.89)=2.2534771695518
log 3(11.9)=2.2542423980346
log 3(11.91)=2.2550069837382
log 3(11.92)=2.2557709277416
log 3(11.93)=2.256534231121
log 3(11.94)=2.25729689495
log 3(11.95)=2.2580589202994
log 3(11.96)=2.2588203082372
log 3(11.97)=2.259581059829
log 3(11.98)=2.2603411761376
log 3(11.99)=2.2611006582231
log 3(12)=2.2618595071429
log 3(12.01)=2.262617723952
log 3(12.02)=2.2633753097024
log 3(12.03)=2.2641322654439
log 3(12.04)=2.2648885922232
log 3(12.05)=2.2656442910849
log 3(12.06)=2.2663993630707
log 3(12.07)=2.2671538092197
log 3(12.08)=2.2679076305684
log 3(12.09)=2.268660828151
log 3(12.1)=2.2694134029989
log 3(12.11)=2.2701653561409
log 3(12.12)=2.2709166886034
log 3(12.13)=2.2716674014102
log 3(12.14)=2.2724174955825
log 3(12.15)=2.2731669721392
log 3(12.16)=2.2739158320963
log 3(12.17)=2.2746640764678
log 3(12.18)=2.2754117062648
log 3(12.19)=2.276158722496
log 3(12.2)=2.2769051261677
log 3(12.21)=2.2776509182836
log 3(12.22)=2.2783960998452
log 3(12.23)=2.2791406718513
log 3(12.24)=2.2798846352982
log 3(12.25)=2.2806279911799
log 3(12.26)=2.2813707404881
log 3(12.27)=2.2821128842117
log 3(12.28)=2.2828544233376
log 3(12.29)=2.2835953588499
log 3(12.3)=2.2843356917306
log 3(12.31)=2.2850754229591
log 3(12.32)=2.2858145535126
log 3(12.33)=2.2865530843658
log 3(12.34)=2.2872910164911
log 3(12.35)=2.2880283508583
log 3(12.36)=2.2887650884353
log 3(12.37)=2.2895012301872
log 3(12.38)=2.290236777077
log 3(12.39)=2.2909717300654
log 3(12.4)=2.2917060901105
log 3(12.41)=2.2924398581685
log 3(12.42)=2.293173035193
log 3(12.43)=2.2939056221352
log 3(12.44)=2.2946376199444
log 3(12.45)=2.2953690295672
log 3(12.46)=2.2960998519482
log 3(12.47)=2.2968300880296
log 3(12.48)=2.2975597387513
log 3(12.49)=2.2982888050511
log 3(12.5)=2.2990172878644
log 3(12.51)=2.2997451881244

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