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Log 3 (20)

Log 3 (20) is the logarithm of 20 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 (20) = 2.7268330278608.

Calculate Log Base 3 of 20

To solve the equation log 3 (20) = 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 = 20, a = 3:
    log 3 (20) = log(20) / log(3)
  3. Evaluate the term:
    log(20) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 2.7268330278608
    = Logarithm of 20 with base 3
Here’s the logarithm of 3 to the base 20.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 2.7268330278608 = 20
  • 3 2.7268330278608 = 20 is the exponential form of log3 (20)
  • 3 is the logarithm base of log3 (20)
  • 20 is the argument of log3 (20)
  • 2.7268330278608 is the exponent or power of 3 2.7268330278608 = 20
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 20?

Log3 (20) = 2.7268330278608.

How do you find the value of log 320?

Carry out the change of base logarithm operation.

What does log 3 20 mean?

It means the logarithm of 20 with base 3.

How do you solve log base 3 20?

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

What is the log base 3 of 20?

The value is 2.7268330278608.

How do you write log 3 20 in exponential form?

In exponential form is 3 2.7268330278608 = 20.

What is log3 (20) equal to?

log base 3 of 20 = 2.7268330278608.

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 20 = 2.7268330278608.

You now know everything about the logarithm with base 3, argument 20 and exponent 2.7268330278608.
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 (20).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(19.5)=2.7037877659013
log 3(19.51)=2.7042544355997
log 3(19.52)=2.7047208661641
log 3(19.53)=2.7051870578397
log 3(19.54)=2.7056530108709
log 3(19.55)=2.706118725502
log 3(19.56)=2.7065842019768
log 3(19.57)=2.7070494405387
log 3(19.58)=2.7075144414309
log 3(19.59)=2.707979204896
log 3(19.6)=2.7084437311764
log 3(19.61)=2.708908020514
log 3(19.62)=2.7093720731504
log 3(19.63)=2.7098358893269
log 3(19.64)=2.7102994692842
log 3(19.65)=2.710762813263
log 3(19.66)=2.7112259215033
log 3(19.67)=2.7116887942448
log 3(19.68)=2.712151431727
log 3(19.69)=2.7126138341889
log 3(19.7)=2.7130760018691
log 3(19.71)=2.713537935006
log 3(19.72)=2.7139996338374
log 3(19.73)=2.7144610986009
log 3(19.74)=2.7149223295338
log 3(19.75)=2.715383326873
log 3(19.76)=2.7158440908548
log 3(19.77)=2.7163046217154
log 3(19.78)=2.7167649196906
log 3(19.79)=2.7172249850159
log 3(19.8)=2.7176848179262
log 3(19.81)=2.7181444186563
log 3(19.82)=2.7186037874405
log 3(19.83)=2.7190629245129
log 3(19.84)=2.719521830107
log 3(19.85)=2.7199805044561
log 3(19.86)=2.7204389477933
log 3(19.87)=2.720897160351
log 3(19.88)=2.7213551423614
log 3(19.89)=2.7218128940566
log 3(19.9)=2.7222704156679
log 3(19.91)=2.7227277074267
log 3(19.92)=2.7231847695636
log 3(19.93)=2.7236416023093
log 3(19.94)=2.7240982058938
log 3(19.95)=2.724554580547
log 3(19.96)=2.7250107264982
log 3(19.97)=2.7254666439766
log 3(19.98)=2.725922333211
log 3(19.99)=2.7263777944297
log 3(20)=2.7268330278608
log 3(20.01)=2.7272880337322
log 3(20.02)=2.727742812271
log 3(20.03)=2.7281973637045
log 3(20.04)=2.7286516882593
log 3(20.05)=2.7291057861618
log 3(20.06)=2.729559657638
log 3(20.07)=2.7300133029136
log 3(20.08)=2.7304667222139
log 3(20.09)=2.730919915764
log 3(20.1)=2.7313728837886
log 3(20.11)=2.731825626512
log 3(20.12)=2.7322781441582
log 3(20.13)=2.732730436951
log 3(20.14)=2.7331825051135
log 3(20.15)=2.733634348869
log 3(20.16)=2.7340859684399
log 3(20.17)=2.7345373640488
log 3(20.18)=2.7349885359176
log 3(20.19)=2.735439484268
log 3(20.2)=2.7358902093213
log 3(20.21)=2.7363407112987
log 3(20.22)=2.7367909904207
log 3(20.23)=2.7372410469078
log 3(20.24)=2.73769088098
log 3(20.25)=2.7381404928571
log 3(20.26)=2.7385898827584
log 3(20.27)=2.739039050903
log 3(20.28)=2.7394879975097
log 3(20.29)=2.7399367227969
log 3(20.3)=2.7403852269827
log 3(20.31)=2.7408335102849
log 3(20.32)=2.7412815729208
log 3(20.33)=2.7417294151078
log 3(20.34)=2.7421770370625
log 3(20.35)=2.7426244390016
log 3(20.36)=2.7430716211411
log 3(20.37)=2.7435185836969
log 3(20.38)=2.7439653268846
log 3(20.39)=2.7444118509193
log 3(20.4)=2.7448581560161
log 3(20.41)=2.7453042423895
log 3(20.42)=2.7457501102537
log 3(20.43)=2.7461957598228
log 3(20.44)=2.7466411913103
log 3(20.45)=2.7470864049297
log 3(20.46)=2.7475314008938
log 3(20.47)=2.7479761794156
log 3(20.48)=2.7484207407073
log 3(20.49)=2.748865084981
log 3(20.5)=2.7493092124485

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