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Log 48 (398)

Log 48 (398) is the logarithm of 398 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 (398) = 1.5464069131043.

Calculate Log Base 48 of 398

To solve the equation log 48 (398) = 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 = 398, a = 48:
    log 48 (398) = log(398) / log(48)
  3. Evaluate the term:
    log(398) / log(48)
    = 1.39794000867204 / 1.92427928606188
    = 1.5464069131043
    = Logarithm of 398 with base 48
Here’s the logarithm of 48 to the base 398.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 48 1.5464069131043 = 398
  • 48 1.5464069131043 = 398 is the exponential form of log48 (398)
  • 48 is the logarithm base of log48 (398)
  • 398 is the argument of log48 (398)
  • 1.5464069131043 is the exponent or power of 48 1.5464069131043 = 398
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 398?

Log48 (398) = 1.5464069131043.

How do you find the value of log 48398?

Carry out the change of base logarithm operation.

What does log 48 398 mean?

It means the logarithm of 398 with base 48.

How do you solve log base 48 398?

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

What is the log base 48 of 398?

The value is 1.5464069131043.

How do you write log 48 398 in exponential form?

In exponential form is 48 1.5464069131043 = 398.

What is log48 (398) equal to?

log base 48 of 398 = 1.5464069131043.
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 398 = 1.5464069131043.

You now know everything about the logarithm with base 48, argument 398 and exponent 1.5464069131043.
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 (398).

Table

Our quick conversion table is easy to use:
log 48(x) Value
log 48(397.5)=1.5460821892818
log 48(397.51)=1.5460886877602
log 48(397.52)=1.5460951860752
log 48(397.53)=1.5461016842267
log 48(397.54)=1.5461081822147
log 48(397.55)=1.5461146800393
log 48(397.56)=1.5461211777004
log 48(397.57)=1.5461276751981
log 48(397.58)=1.5461341725323
log 48(397.59)=1.5461406697032
log 48(397.6)=1.5461471667106
log 48(397.61)=1.5461536635546
log 48(397.62)=1.5461601602352
log 48(397.63)=1.5461666567525
log 48(397.64)=1.5461731531064
log 48(397.65)=1.5461796492968
log 48(397.66)=1.546186145324
log 48(397.67)=1.5461926411877
log 48(397.68)=1.5461991368882
log 48(397.69)=1.5462056324253
log 48(397.7)=1.546212127799
log 48(397.71)=1.5462186230095
log 48(397.72)=1.5462251180566
log 48(397.73)=1.5462316129404
log 48(397.74)=1.5462381076609
log 48(397.75)=1.5462446022182
log 48(397.76)=1.5462510966121
log 48(397.77)=1.5462575908428
log 48(397.78)=1.5462640849102
log 48(397.79)=1.5462705788144
log 48(397.8)=1.5462770725553
log 48(397.81)=1.546283566133
log 48(397.82)=1.5462900595475
log 48(397.83)=1.5462965527987
log 48(397.84)=1.5463030458867
log 48(397.85)=1.5463095388115
log 48(397.86)=1.5463160315731
log 48(397.87)=1.5463225241715
log 48(397.88)=1.5463290166067
log 48(397.89)=1.5463355088788
log 48(397.9)=1.5463420009877
log 48(397.91)=1.5463484929334
log 48(397.92)=1.546354984716
log 48(397.93)=1.5463614763355
log 48(397.94)=1.5463679677918
log 48(397.95)=1.546374459085
log 48(397.96)=1.546380950215
log 48(397.97)=1.546387441182
log 48(397.98)=1.5463939319859
log 48(397.99)=1.5464004226266
log 48(398)=1.5464069131043
log 48(398.01)=1.5464134034189
log 48(398.02)=1.5464198935705
log 48(398.03)=1.546426383559
log 48(398.04)=1.5464328733844
log 48(398.05)=1.5464393630468
log 48(398.06)=1.5464458525462
log 48(398.07)=1.5464523418825
log 48(398.08)=1.5464588310558
log 48(398.09)=1.5464653200661
log 48(398.1)=1.5464718089134
log 48(398.11)=1.5464782975978
log 48(398.12)=1.5464847861191
log 48(398.13)=1.5464912744774
log 48(398.14)=1.5464977626728
log 48(398.15)=1.5465042507052
log 48(398.16)=1.5465107385747
log 48(398.17)=1.5465172262812
log 48(398.18)=1.5465237138248
log 48(398.19)=1.5465302012055
log 48(398.2)=1.5465366884232
log 48(398.21)=1.546543175478
log 48(398.22)=1.54654966237
log 48(398.23)=1.546556149099
log 48(398.24)=1.5465626356651
log 48(398.25)=1.5465691220684
log 48(398.26)=1.5465756083088
log 48(398.27)=1.5465820943863
log 48(398.28)=1.546588580301
log 48(398.29)=1.5465950660528
log 48(398.3)=1.5466015516418
log 48(398.31)=1.546608037068
log 48(398.32)=1.5466145223313
log 48(398.33)=1.5466210074319
log 48(398.34)=1.5466274923696
log 48(398.35)=1.5466339771445
log 48(398.36)=1.5466404617567
log 48(398.37)=1.546646946206
log 48(398.38)=1.5466534304926
log 48(398.39)=1.5466599146164
log 48(398.4)=1.5466663985775
log 48(398.41)=1.5466728823758
log 48(398.42)=1.5466793660114
log 48(398.43)=1.5466858494842
log 48(398.44)=1.5466923327943
log 48(398.45)=1.5466988159418
log 48(398.46)=1.5467052989265
log 48(398.47)=1.5467117817485
log 48(398.48)=1.5467182644078
log 48(398.49)=1.5467247469044
log 48(398.5)=1.5467312292383
log 48(398.51)=1.5467377114096

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