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Log 3 (47)

Log 3 (47) is the logarithm of 47 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 (47) = 3.5045553753797.

Calculate Log Base 3 of 47

To solve the equation log 3 (47) = 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 = 47, a = 3:
    log 3 (47) = log(47) / log(3)
  3. Evaluate the term:
    log(47) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.5045553753797
    = Logarithm of 47 with base 3
Here’s the logarithm of 3 to the base 47.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.5045553753797 = 47
  • 3 3.5045553753797 = 47 is the exponential form of log3 (47)
  • 3 is the logarithm base of log3 (47)
  • 47 is the argument of log3 (47)
  • 3.5045553753797 is the exponent or power of 3 3.5045553753797 = 47
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 47?

Log3 (47) = 3.5045553753797.

How do you find the value of log 347?

Carry out the change of base logarithm operation.

What does log 3 47 mean?

It means the logarithm of 47 with base 3.

How do you solve log base 3 47?

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

What is the log base 3 of 47?

The value is 3.5045553753797.

How do you write log 3 47 in exponential form?

In exponential form is 3 3.5045553753797 = 47.

What is log3 (47) equal to?

log base 3 of 47 = 3.5045553753797.
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 47 = 3.5045553753797.

You now know everything about the logarithm with base 3, argument 47 and exponent 3.5045553753797.
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 (47).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(46.5)=3.4948201036856
log 3(46.51)=3.4950158330115
log 3(46.52)=3.4952115202586
log 3(46.53)=3.4954071654451
log 3(46.54)=3.495602768589
log 3(46.55)=3.4957983297084
log 3(46.56)=3.4959938488213
log 3(46.57)=3.4961893259458
log 3(46.58)=3.4963847610998
log 3(46.59)=3.4965801543015
log 3(46.6)=3.4967755055689
log 3(46.61)=3.4969708149198
log 3(46.62)=3.4971660823724
log 3(46.63)=3.4973613079445
log 3(46.64)=3.4975564916542
log 3(46.65)=3.4977516335194
log 3(46.66)=3.497946733558
log 3(46.67)=3.498141791788
log 3(46.68)=3.4983368082272
log 3(46.69)=3.4985317828936
log 3(46.7)=3.4987267158051
log 3(46.71)=3.4989216069795
log 3(46.72)=3.4991164564347
log 3(46.73)=3.4993112641886
log 3(46.74)=3.499506030259
log 3(46.75)=3.4997007546638
log 3(46.76)=3.4998954374207
log 3(46.77)=3.5000900785477
log 3(46.78)=3.5002846780624
log 3(46.79)=3.5004792359827
log 3(46.8)=3.5006737523263
log 3(46.81)=3.5008682271111
log 3(46.82)=3.5010626603547
log 3(46.83)=3.501257052075
log 3(46.84)=3.5014514022896
log 3(46.85)=3.5016457110162
log 3(46.86)=3.5018399782727
log 3(46.87)=3.5020342040766
log 3(46.88)=3.5022283884457
log 3(46.89)=3.5024225313976
log 3(46.9)=3.50261663295
log 3(46.91)=3.5028106931206
log 3(46.92)=3.503004711927
log 3(46.93)=3.5031986893868
log 3(46.94)=3.5033926255176
log 3(46.95)=3.5035865203371
log 3(46.96)=3.5037803738628
log 3(46.97)=3.5039741861124
log 3(46.98)=3.5041679571033
log 3(46.99)=3.5043616868533
log 3(47)=3.5045553753797
log 3(47.01)=3.5047490227002
log 3(47.02)=3.5049426288323
log 3(47.03)=3.5051361937935
log 3(47.04)=3.5053297176014
log 3(47.05)=3.5055232002733
log 3(47.06)=3.5057166418268
log 3(47.07)=3.5059100422794
log 3(47.08)=3.5061034016485
log 3(47.09)=3.5062967199516
log 3(47.1)=3.506489997206
log 3(47.11)=3.5066832334294
log 3(47.12)=3.506876428639
log 3(47.13)=3.5070695828523
log 3(47.14)=3.5072626960866
log 3(47.15)=3.5074557683594
log 3(47.16)=3.507648799688
log 3(47.17)=3.5078417900898
log 3(47.18)=3.5080347395821
log 3(47.19)=3.5082276481823
log 3(47.2)=3.5084205159077
log 3(47.21)=3.5086133427756
log 3(47.22)=3.5088061288034
log 3(47.23)=3.5089988740082
log 3(47.24)=3.5091915784075
log 3(47.25)=3.5093842420185
log 3(47.26)=3.5095768648584
log 3(47.27)=3.5097694469445
log 3(47.28)=3.5099619882941
log 3(47.29)=3.5101544889243
log 3(47.3)=3.5103469488524
log 3(47.31)=3.5105393680956
log 3(47.32)=3.5107317466711
log 3(47.33)=3.5109240845961
log 3(47.34)=3.5111163818878
log 3(47.35)=3.5113086385633
log 3(47.36)=3.5115008546397
log 3(47.37)=3.5116930301343
log 3(47.38)=3.5118851650641
log 3(47.39)=3.5120772594463
log 3(47.4)=3.5122693132979
log 3(47.41)=3.5124613266362
log 3(47.42)=3.5126532994781
log 3(47.43)=3.5128452318408
log 3(47.44)=3.5130371237413
log 3(47.45)=3.5132289751967
log 3(47.46)=3.513420786224
log 3(47.47)=3.5136125568402
log 3(47.48)=3.5138042870624
log 3(47.49)=3.5139959769076
log 3(47.5)=3.5141876263928
log 3(47.51)=3.514379235535

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