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Log 15 (3)

Log 15 (3) is the logarithm of 3 to the base 15:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log15 (3) = 0.40568387108221.

Calculate Log Base 15 of 3

To solve the equation log 15 (3) = 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 = 3, a = 15:
    log 15 (3) = log(3) / log(15)
  3. Evaluate the term:
    log(3) / log(15)
    = 1.39794000867204 / 1.92427928606188
    = 0.40568387108221
    = Logarithm of 3 with base 15
Here’s the logarithm of 15 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 15 0.40568387108221 = 3
  • 15 0.40568387108221 = 3 is the exponential form of log15 (3)
  • 15 is the logarithm base of log15 (3)
  • 3 is the argument of log15 (3)
  • 0.40568387108221 is the exponent or power of 15 0.40568387108221 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log15 3?

Log15 (3) = 0.40568387108221.

How do you find the value of log 153?

Carry out the change of base logarithm operation.

What does log 15 3 mean?

It means the logarithm of 3 with base 15.

How do you solve log base 15 3?

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

What is the log base 15 of 3?

The value is 0.40568387108221.

How do you write log 15 3 in exponential form?

In exponential form is 15 0.40568387108221 = 3.

What is log15 (3) equal to?

log base 15 of 3 = 0.40568387108221.
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 15 of 3 = 0.40568387108221.

You now know everything about the logarithm with base 15, argument 3 and exponent 0.40568387108221.
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 Log15 (3).

Table

Our quick conversion table is easy to use:
log 15(x) Value
log 15(2.5)=0.33835810410797
log 15(2.51)=0.33983223529945
log 15(2.52)=0.34130050511883
log 15(2.53)=0.342762959993
log 15(2.54)=0.34421964579942
log 15(2.55)=0.34567060787475
log 15(2.56)=0.34711589102332
log 15(2.57)=0.34855553952543
log 15(2.58)=0.34998959714549
log 15(2.59)=0.35141810714
log 15(2.6)=0.3528411122654
log 15(2.61)=0.3542586547857
log 15(2.62)=0.35567077648006
log 15(2.63)=0.35707751865017
log 15(2.64)=0.35847892212748
log 15(2.65)=0.35987502728032
log 15(2.66)=0.36126587402088
log 15(2.67)=0.36265150181206
log 15(2.68)=0.36403194967417
log 15(2.69)=0.36540725619155
log 15(2.7)=0.36677745951904
log 15(2.71)=0.36814259738827
log 15(2.72)=0.36950270711401
log 15(2.73)=0.37085782560017
log 15(2.74)=0.37220798934589
log 15(2.75)=0.37355323445139
log 15(2.76)=0.37489359662382
log 15(2.77)=0.37622911118286
log 15(2.78)=0.37755981306639
log 15(2.79)=0.37888573683592
log 15(2.8)=0.38020691668201
log 15(2.81)=0.38152338642952
log 15(2.82)=0.38283517954285
log 15(2.83)=0.38414232913103
log 15(2.84)=0.3854448679527
log 15(2.85)=0.38674282842108
log 15(2.86)=0.38803624260882
log 15(2.87)=0.38932514225268
log 15(2.88)=0.3906095587583
log 15(2.89)=0.3918895232047
log 15(2.9)=0.39316506634887
log 15(2.91)=0.39443621863016
log 15(2.92)=0.39570301017464
log 15(2.93)=0.39696547079941
log 15(2.94)=0.39822363001678
log 15(2.95)=0.39947751703843
log 15(2.96)=0.40072716077947
log 15(2.97)=0.40197258986246
log 15(2.98)=0.4032138326213
log 15(2.99)=0.40445091710516
log 15(3)=0.40568387108221
log 15(3.01)=0.40691272204344
log 15(3.02)=0.40813749720626
log 15(3.03)=0.40935822351819
log 15(3.04)=0.41057492766035
log 15(3.05)=0.411787636051
log 15(3.06)=0.41299637484899
log 15(3.07)=0.4142011699571
log 15(3.08)=0.41540204702543
log 15(3.09)=0.41659903145461
log 15(3.1)=0.4177921483991
log 15(3.11)=0.41898142277028
log 15(3.12)=0.42016687923964
log 15(3.13)=0.42134854224181
log 15(3.14)=0.42252643597761
log 15(3.15)=0.42370058441698
log 15(3.16)=0.42487101130198
log 15(3.17)=0.42603774014957
log 15(3.18)=0.42720079425456
log 15(3.19)=0.42836019669229
log 15(3.2)=0.42951597032147
log 15(3.21)=0.43066813778682
log 15(3.22)=0.43181672152176
log 15(3.23)=0.43296174375104
log 15(3.24)=0.43410322649328
log 15(3.25)=0.43524119156355
log 15(3.26)=0.43637566057588
log 15(3.27)=0.43750665494566
log 15(3.28)=0.43863419589215
log 15(3.29)=0.4397583044408
log 15(3.3)=0.44087900142563
log 15(3.31)=0.44199630749156
log 15(3.32)=0.44311024309667
log 15(3.33)=0.44422082851445
log 15(3.34)=0.44532808383602
log 15(3.35)=0.44643202897232
log 15(3.36)=0.44753268365625
log 15(3.37)=0.44863006744475
log 15(3.38)=0.44972419972098
log 15(3.39)=0.45081509969625
log 15(3.4)=0.45190278641216
log 15(3.41)=0.45298727874252
log 15(3.42)=0.45406859539533
log 15(3.43)=0.45514675491473
log 15(3.44)=0.45622177568291
log 15(3.45)=0.45729367592197
log 15(3.46)=0.4583624736958
log 15(3.47)=0.45942818691189
log 15(3.48)=0.46049083332311
log 15(3.49)=0.46155043052954
log 15(3.5)=0.46260699598016
log 15(3.51)=0.46366054697462

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