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Log 3 (60)

Log 3 (60) is the logarithm of 60 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 (60) = 3.7268330278608.

Calculate Log Base 3 of 60

To solve the equation log 3 (60) = 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 = 60, a = 3:
    log 3 (60) = log(60) / log(3)
  3. Evaluate the term:
    log(60) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.7268330278608
    = Logarithm of 60 with base 3
Here’s the logarithm of 3 to the base 60.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.7268330278608 = 60
  • 3 3.7268330278608 = 60 is the exponential form of log3 (60)
  • 3 is the logarithm base of log3 (60)
  • 60 is the argument of log3 (60)
  • 3.7268330278608 is the exponent or power of 3 3.7268330278608 = 60
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 60?

Log3 (60) = 3.7268330278608.

How do you find the value of log 360?

Carry out the change of base logarithm operation.

What does log 3 60 mean?

It means the logarithm of 60 with base 3.

How do you solve log base 3 60?

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

What is the log base 3 of 60?

The value is 3.7268330278608.

How do you write log 3 60 in exponential form?

In exponential form is 3 3.7268330278608 = 60.

What is log3 (60) equal to?

log base 3 of 60 = 3.7268330278608.

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 60 = 3.7268330278608.

You now know everything about the logarithm with base 3, argument 60 and exponent 3.7268330278608.
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 (60).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(59.5)=3.7192159187525
log 3(59.51)=3.719368887281
log 3(59.52)=3.719521830107
log 3(59.53)=3.7196747472391
log 3(59.54)=3.7198276386859
log 3(59.55)=3.7199805044561
log 3(59.56)=3.7201333445584
log 3(59.57)=3.7202861590012
log 3(59.58)=3.7204389477933
log 3(59.59)=3.7205917109432
log 3(59.6)=3.7207444484595
log 3(59.61)=3.720897160351
log 3(59.62)=3.721049846626
log 3(59.63)=3.7212025072933
log 3(59.64)=3.7213551423614
log 3(59.65)=3.721507751839
log 3(59.66)=3.7216603357345
log 3(59.67)=3.7218128940566
log 3(59.68)=3.7219654268138
log 3(59.69)=3.7221179340147
log 3(59.7)=3.7222704156679
log 3(59.71)=3.722422871782
log 3(59.72)=3.7225753023654
log 3(59.73)=3.7227277074267
log 3(59.74)=3.7228800869745
log 3(59.75)=3.7230324410173
log 3(59.76)=3.7231847695636
log 3(59.77)=3.7233370726221
log 3(59.78)=3.7234893502011
log 3(59.79)=3.7236416023093
log 3(59.8)=3.7237938289551
log 3(59.81)=3.7239460301471
log 3(59.82)=3.7240982058938
log 3(59.83)=3.7242503562037
log 3(59.84)=3.7244024810852
log 3(59.85)=3.724554580547
log 3(59.86)=3.7247066545974
log 3(59.87)=3.7248587032449
log 3(59.88)=3.7250107264982
log 3(59.89)=3.7251627243656
log 3(59.9)=3.7253146968555
log 3(59.91)=3.7254666439766
log 3(59.92)=3.7256185657372
log 3(59.93)=3.7257704621458
log 3(59.94)=3.725922333211
log 3(59.95)=3.726074178941
log 3(59.96)=3.7262259993444
log 3(59.97)=3.7263777944297
log 3(59.98)=3.7265295642052
log 3(59.99)=3.7266813086795
log 3(60)=3.7268330278608
log 3(60.01)=3.7269847217578
log 3(60.02)=3.7271363903788
log 3(60.03)=3.7272880337322
log 3(60.04)=3.7274396518264
log 3(60.05)=3.7275912446699
log 3(60.06)=3.727742812271
log 3(60.07)=3.7278943546383
log 3(60.08)=3.72804587178
log 3(60.09)=3.7281973637045
log 3(60.1)=3.7283488304203
log 3(60.11)=3.7285002719358
log 3(60.12)=3.7286516882593
log 3(60.13)=3.7288030793992
log 3(60.14)=3.7289544453639
log 3(60.15)=3.7291057861618
log 3(60.16)=3.7292571018012
log 3(60.17)=3.7294083922904
log 3(60.18)=3.729559657638
log 3(60.19)=3.7297108978521
log 3(60.2)=3.7298621129412
log 3(60.21)=3.7300133029136
log 3(60.22)=3.7301644677776
log 3(60.23)=3.7303156075416
log 3(60.24)=3.7304667222139
log 3(60.25)=3.7306178118029
log 3(60.26)=3.7307688763168
log 3(60.27)=3.730919915764
log 3(60.28)=3.7310709301529
log 3(60.29)=3.7312219194916
log 3(60.3)=3.7313728837886
log 3(60.31)=3.7315238230521
log 3(60.32)=3.7316747372905
log 3(60.33)=3.731825626512
log 3(60.34)=3.7319764907249
log 3(60.35)=3.7321273299376
log 3(60.36)=3.7322781441582
log 3(60.37)=3.7324289333952
log 3(60.38)=3.7325796976566
log 3(60.39)=3.732730436951
log 3(60.4)=3.7328811512864
log 3(60.41)=3.7330318406711
log 3(60.42)=3.7331825051135
log 3(60.43)=3.7333331446218
log 3(60.44)=3.7334837592042
log 3(60.45)=3.733634348869
log 3(60.46)=3.7337849136244
log 3(60.47)=3.7339354534786
log 3(60.48)=3.7340859684399
log 3(60.49)=3.7342364585166
log 3(60.5)=3.7343869237168
log 3(60.51)=3.7345373640488

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