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Log 3 (48)

Log 3 (48) is the logarithm of 48 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 (48) = 3.5237190142858.

Calculate Log Base 3 of 48

To solve the equation log 3 (48) = 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 = 48, a = 3:
    log 3 (48) = log(48) / log(3)
  3. Evaluate the term:
    log(48) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.5237190142858
    = Logarithm of 48 with base 3
Here’s the logarithm of 3 to the base 48.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.5237190142858 = 48
  • 3 3.5237190142858 = 48 is the exponential form of log3 (48)
  • 3 is the logarithm base of log3 (48)
  • 48 is the argument of log3 (48)
  • 3.5237190142858 is the exponent or power of 3 3.5237190142858 = 48
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 48?

Log3 (48) = 3.5237190142858.

How do you find the value of log 348?

Carry out the change of base logarithm operation.

What does log 3 48 mean?

It means the logarithm of 48 with base 3.

How do you solve log base 3 48?

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

What is the log base 3 of 48?

The value is 3.5237190142858.

How do you write log 3 48 in exponential form?

In exponential form is 3 3.5237190142858 = 48.

What is log3 (48) equal to?

log base 3 of 48 = 3.5237190142858.
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 48 = 3.5237190142858.

You now know everything about the logarithm with base 3, argument 48 and exponent 3.5237190142858.
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 (48).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(47.5)=3.5141876263928
log 3(47.51)=3.514379235535
log 3(47.52)=3.5145708043512
log 3(47.53)=3.5147623328583
log 3(47.54)=3.5149538210733
log 3(47.55)=3.5151452690131
log 3(47.56)=3.5153366766948
log 3(47.57)=3.5155280441351
log 3(47.58)=3.5157193713511
log 3(47.59)=3.5159106583596
log 3(47.6)=3.5161019051775
log 3(47.61)=3.5162931118218
log 3(47.62)=3.5164842783092
log 3(47.63)=3.5166754046567
log 3(47.64)=3.5168664908811
log 3(47.65)=3.5170575369993
log 3(47.66)=3.517248543028
log 3(47.67)=3.5174395089842
log 3(47.68)=3.5176304348845
log 3(47.69)=3.5178213207459
log 3(47.7)=3.5180121665851
log 3(47.71)=3.5182029724188
log 3(47.72)=3.518393738264
log 3(47.73)=3.5185844641372
log 3(47.74)=3.5187751500553
log 3(47.75)=3.5189657960349
log 3(47.76)=3.5191564020929
log 3(47.77)=3.519346968246
log 3(47.78)=3.5195374945107
log 3(47.79)=3.5197279809039
log 3(47.8)=3.5199184274423
log 3(47.81)=3.5201088341424
log 3(47.82)=3.520299201021
log 3(47.83)=3.5204895280947
log 3(47.84)=3.5206798153801
log 3(47.85)=3.520870062894
log 3(47.86)=3.5210602706528
log 3(47.87)=3.5212504386733
log 3(47.88)=3.5214405669719
log 3(47.89)=3.5216306555654
log 3(47.9)=3.5218207044703
log 3(47.91)=3.5220107137032
log 3(47.92)=3.5222006832805
log 3(47.93)=3.522390613219
log 3(47.94)=3.522580503535
log 3(47.95)=3.5227703542452
log 3(47.96)=3.522960165366
log 3(47.97)=3.523149936914
log 3(47.98)=3.5233396689056
log 3(47.99)=3.5235293613574
log 3(48)=3.5237190142858
log 3(48.01)=3.5239086277073
log 3(48.02)=3.5240982016384
log 3(48.03)=3.5242877360954
log 3(48.04)=3.5244772310949
log 3(48.05)=3.5246666866532
log 3(48.06)=3.5248561027868
log 3(48.07)=3.525045479512
log 3(48.08)=3.5252348168453
log 3(48.09)=3.5254241148031
log 3(48.1)=3.5256133734017
log 3(48.11)=3.5258025926575
log 3(48.12)=3.5259917725868
log 3(48.13)=3.526180913206
log 3(48.14)=3.5263700145314
log 3(48.15)=3.5265590765793
log 3(48.16)=3.5267480993662
log 3(48.17)=3.5269370829081
log 3(48.18)=3.5271260272215
log 3(48.19)=3.5273149323227
log 3(48.2)=3.5275037982279
log 3(48.21)=3.5276926249533
log 3(48.22)=3.5278814125152
log 3(48.23)=3.5280701609299
log 3(48.24)=3.5282588702136
log 3(48.25)=3.5284475403825
log 3(48.26)=3.5286361714528
log 3(48.27)=3.5288247634408
log 3(48.28)=3.5290133163626
log 3(48.29)=3.5292018302344
log 3(48.3)=3.5293903050723
log 3(48.31)=3.5295787408926
log 3(48.32)=3.5297671377114
log 3(48.33)=3.5299554955447
log 3(48.34)=3.5301438144089
log 3(48.35)=3.5303320943199
log 3(48.36)=3.5305203352939
log 3(48.37)=3.5307085373471
log 3(48.38)=3.5308967004954
log 3(48.39)=3.5310848247549
log 3(48.4)=3.5312729101418
log 3(48.41)=3.5314609566721
log 3(48.42)=3.5316489643618
log 3(48.43)=3.5318369332271
log 3(48.44)=3.5320248632838
log 3(48.45)=3.5322127545481
log 3(48.46)=3.5324006070359
log 3(48.47)=3.5325884207633
log 3(48.48)=3.5327761957463
log 3(48.49)=3.5329639320008
log 3(48.5)=3.5331516295428
log 3(48.51)=3.5333392883882

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