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Log(47)

Log (47) is the decimal logarithm of 47:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log(47) = 1.6720978579357.

Calculate Log 47

To solve the equation log (47) = x using a base distinct from 10 carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = e:
    log a (x) = ln(x) / ln(a)
  2. Substitute the variables:
    With x = 47, a = 10:
    log (47) = ln(47) / ln(10)
  3. Evaluate the term:
    ln(47) / ln(10)
    = 8.74113642290101 / 2.30258509299405
    = 1.6720978579357
    = Decimal logarithm of 47

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 10 1.6720978579357 = 47
  • 10 1.6720978579357 = 47 is the exponential form of log(47)
  • 10 is the logarithm base of log(47)
  • 47 is the argument of log(47)
  • 1.6720978579357 is the exponent or power of 10 1.6720978579357 = 47
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

Log(47) = 1.6720978579357.
Carry out the change of base logarithm operation.
It means the logarithm of 47 with base 10.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.6720978579357.
In exponential form is 10 1.6720978579357 = 47.
Decimal log of 47 = 1.6720978579357.

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 47 = 1.6720978579357.

You now know everything about the decimal logarithm with argument 47 and exponent 1.6720978579357.
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.

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Table

Our quick conversion table is easy to use:
log(x) Value
log(46.5)=1.66745295289
log(46.51)=1.6675463395115
log(46.52)=1.6676397060564
log(46.53)=1.6677330525333
log(46.54)=1.6678263789507
log(46.55)=1.6679196853174
log(46.56)=1.6680129716418
log(46.57)=1.6681062379327
log(46.58)=1.6681994841987
log(46.59)=1.6682927104482
log(46.6)=1.66838591669
log(46.61)=1.6684791029326
log(46.62)=1.6685722691846
log(46.63)=1.6686654154545
log(46.64)=1.668758541751
log(46.65)=1.6688516480825
log(46.66)=1.6689447344577
log(46.67)=1.6690378008852
log(46.68)=1.6691308473733
log(46.69)=1.6692238739308
log(46.7)=1.6693168805661
log(46.71)=1.6694098672878
log(46.72)=1.6695028341043
log(46.73)=1.6695957810243
log(46.74)=1.6696887080562
log(46.75)=1.6697816152085
log(46.76)=1.6698745024898
log(46.77)=1.6699673699085
log(46.78)=1.6700602174731
log(46.79)=1.6701530451922
log(46.8)=1.6702458530741
log(46.81)=1.6703386411274
log(46.82)=1.6704314093606
log(46.83)=1.6705241577821
log(46.84)=1.6706168864003
log(46.85)=1.6707095952238
log(46.86)=1.6708022842609
log(46.87)=1.6708949535202
log(46.88)=1.67098760301
log(46.89)=1.6710802327388
log(46.9)=1.6711728427151
log(46.91)=1.6712654329472
log(46.92)=1.6713580034435
log(46.93)=1.6714505542125
log(46.94)=1.6715430852626
log(46.95)=1.6716355966021
log(46.96)=1.6717280882396
log(46.97)=1.6718205601832
log(46.98)=1.6719130124416
log(46.99)=1.672005445023
log(47)=1.6720978579357
log(47.01)=1.6721902511883
log(47.02)=1.6722826247889
log(47.03)=1.6723749787461
log(47.04)=1.6724673130681
log(47.05)=1.6725596277633
log(47.06)=1.67265192284
log(47.07)=1.6727441983066
log(47.08)=1.6728364541714
log(47.09)=1.6729286904427
log(47.1)=1.6730209071289
log(47.11)=1.6731131042382
log(47.12)=1.673205281779
log(47.13)=1.6732974397596
log(47.14)=1.6733895781883
log(47.15)=1.6734816970733
log(47.16)=1.6735737964231
log(47.17)=1.6736658762457
log(47.18)=1.6737579365496
log(47.19)=1.6738499773429
log(47.2)=1.6739419986341
log(47.21)=1.6740340004313
log(47.22)=1.6741259827427
log(47.23)=1.6742179455767
log(47.24)=1.6743098889415
log(47.25)=1.6744018128453
log(47.26)=1.6744937172963
log(47.27)=1.6745856023029
log(47.28)=1.6746774678732
log(47.29)=1.6747693140154
log(47.3)=1.6748611407378
log(47.31)=1.6749529480486
log(47.32)=1.6750447359559
log(47.33)=1.675136504468
log(47.34)=1.6752282535931
log(47.35)=1.6753199833393
log(47.36)=1.6754116937149
log(47.37)=1.675503384728
log(47.38)=1.6755950563867
log(47.39)=1.6756867086994
log(47.4)=1.6757783416741
log(47.41)=1.675869955319
log(47.42)=1.6759615496422
log(47.43)=1.6760531246519
log(47.44)=1.6761446803562
log(47.45)=1.6762362167633
log(47.46)=1.6763277338813
log(47.47)=1.6764192317184
log(47.48)=1.6765107102826
log(47.49)=1.676602169582
log(47.5)=1.6766936096249
log(47.51)=1.6767850304192

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