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Log 48 (378)

Log 48 (378) is the logarithm of 378 to the base 48:

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Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log48 (378) = 1.5330886148502.

Calculate Log Base 48 of 378

To solve the equation log 48 (378) = 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 = 378, a = 48:
    log 48 (378) = log(378) / log(48)
  3. Evaluate the term:
    log(378) / log(48)
    = 1.39794000867204 / 1.92427928606188
    = 1.5330886148502
    = Logarithm of 378 with base 48
Here’s the logarithm of 48 to the base 378.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 48 1.5330886148502 = 378
  • 48 1.5330886148502 = 378 is the exponential form of log48 (378)
  • 48 is the logarithm base of log48 (378)
  • 378 is the argument of log48 (378)
  • 1.5330886148502 is the exponent or power of 48 1.5330886148502 = 378
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log48 378?

Log48 (378) = 1.5330886148502.

How do you find the value of log 48378?

Carry out the change of base logarithm operation.

What does log 48 378 mean?

It means the logarithm of 378 with base 48.

How do you solve log base 48 378?

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

What is the log base 48 of 378?

The value is 1.5330886148502.

How do you write log 48 378 in exponential form?

In exponential form is 48 1.5330886148502 = 378.

What is log48 (378) equal to?

log base 48 of 378 = 1.5330886148502.
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 48 of 378 = 1.5330886148502.

You now know everything about the logarithm with base 48, argument 378 and exponent 1.5330886148502.
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 Log48 (378).

Table

Our quick conversion table is easy to use:
log 48(x) Value
log 48(377.5)=1.5327466984975
log 48(377.51)=1.5327535412616
log 48(377.52)=1.5327603838444
log 48(377.53)=1.532767226246
log 48(377.54)=1.5327740684664
log 48(377.55)=1.5327809105056
log 48(377.56)=1.5327877523635
log 48(377.57)=1.5327945940402
log 48(377.58)=1.5328014355357
log 48(377.59)=1.53280827685
log 48(377.6)=1.5328151179832
log 48(377.61)=1.5328219589351
log 48(377.62)=1.5328287997059
log 48(377.63)=1.5328356402956
log 48(377.64)=1.5328424807041
log 48(377.65)=1.5328493209315
log 48(377.66)=1.5328561609777
log 48(377.67)=1.5328630008429
log 48(377.68)=1.5328698405269
log 48(377.69)=1.5328766800299
log 48(377.7)=1.5328835193517
log 48(377.71)=1.5328903584925
log 48(377.72)=1.5328971974522
log 48(377.73)=1.5329040362309
log 48(377.74)=1.5329108748285
log 48(377.75)=1.532917713245
log 48(377.76)=1.5329245514806
log 48(377.77)=1.5329313895351
log 48(377.78)=1.5329382274086
log 48(377.79)=1.5329450651012
log 48(377.8)=1.5329519026127
log 48(377.81)=1.5329587399432
log 48(377.82)=1.5329655770928
log 48(377.83)=1.5329724140614
log 48(377.84)=1.5329792508491
log 48(377.85)=1.5329860874558
log 48(377.86)=1.5329929238816
log 48(377.87)=1.5329997601265
log 48(377.88)=1.5330065961904
log 48(377.89)=1.5330134320735
log 48(377.9)=1.5330202677757
log 48(377.91)=1.5330271032969
log 48(377.92)=1.5330339386373
log 48(377.93)=1.5330407737969
log 48(377.94)=1.5330476087756
log 48(377.95)=1.5330544435734
log 48(377.96)=1.5330612781904
log 48(377.97)=1.5330681126266
log 48(377.98)=1.5330749468819
log 48(377.99)=1.5330817809565
log 48(378)=1.5330886148502
log 48(378.01)=1.5330954485632
log 48(378.02)=1.5331022820954
log 48(378.03)=1.5331091154468
log 48(378.04)=1.5331159486174
log 48(378.05)=1.5331227816073
log 48(378.06)=1.5331296144165
log 48(378.07)=1.5331364470449
log 48(378.08)=1.5331432794927
log 48(378.09)=1.5331501117597
log 48(378.1)=1.5331569438459
log 48(378.11)=1.5331637757516
log 48(378.12)=1.5331706074765
log 48(378.13)=1.5331774390207
log 48(378.14)=1.5331842703843
log 48(378.15)=1.5331911015672
log 48(378.16)=1.5331979325695
log 48(378.17)=1.5332047633912
log 48(378.18)=1.5332115940322
log 48(378.19)=1.5332184244926
log 48(378.2)=1.5332252547724
log 48(378.21)=1.5332320848716
log 48(378.22)=1.5332389147902
log 48(378.23)=1.5332457445282
log 48(378.24)=1.5332525740857
log 48(378.25)=1.5332594034626
log 48(378.26)=1.533266232659
log 48(378.27)=1.5332730616748
log 48(378.28)=1.5332798905101
log 48(378.29)=1.5332867191648
log 48(378.3)=1.5332935476391
log 48(378.31)=1.5333003759328
log 48(378.32)=1.5333072040461
log 48(378.33)=1.5333140319789
log 48(378.34)=1.5333208597312
log 48(378.35)=1.533327687303
log 48(378.36)=1.5333345146944
log 48(378.37)=1.5333413419054
log 48(378.38)=1.5333481689359
log 48(378.39)=1.5333549957859
log 48(378.4)=1.5333618224556
log 48(378.41)=1.5333686489449
log 48(378.42)=1.5333754752537
log 48(378.43)=1.5333823013822
log 48(378.44)=1.5333891273303
log 48(378.45)=1.533395953098
log 48(378.46)=1.5334027786854
log 48(378.47)=1.5334096040924
log 48(378.48)=1.5334164293191
log 48(378.49)=1.5334232543655
log 48(378.5)=1.5334300792315
log 48(378.51)=1.5334369039172

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