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Log 42 (398)

Log 42 (398) is the logarithm of 398 to the base 42:

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Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log42 (398) = 1.601653601485.

Calculate Log Base 42 of 398

To solve the equation log 42 (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 = 42:
    log 42 (398) = log(398) / log(42)
  3. Evaluate the term:
    log(398) / log(42)
    = 1.39794000867204 / 1.92427928606188
    = 1.601653601485
    = Logarithm of 398 with base 42
Here’s the logarithm of 42 to the base 398.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 42 1.601653601485 = 398
  • 42 1.601653601485 = 398 is the exponential form of log42 (398)
  • 42 is the logarithm base of log42 (398)
  • 398 is the argument of log42 (398)
  • 1.601653601485 is the exponent or power of 42 1.601653601485 = 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 log42 398?

Log42 (398) = 1.601653601485.

How do you find the value of log 42398?

Carry out the change of base logarithm operation.

What does log 42 398 mean?

It means the logarithm of 398 with base 42.

How do you solve log base 42 398?

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

What is the log base 42 of 398?

The value is 1.601653601485.

How do you write log 42 398 in exponential form?

In exponential form is 42 1.601653601485 = 398.

What is log42 (398) equal to?

log base 42 of 398 = 1.601653601485.
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 42 of 398 = 1.601653601485.

You now know everything about the logarithm with base 42, argument 398 and exponent 1.601653601485.
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 Log42 (398).

Table

Our quick conversion table is easy to use:
log 42(x) Value
log 42(397.5)=1.6013172766306
log 42(397.51)=1.6013240072726
log 42(397.52)=1.6013307377453
log 42(397.53)=1.6013374680488
log 42(397.54)=1.6013441981829
log 42(397.55)=1.6013509281477
log 42(397.56)=1.6013576579432
log 42(397.57)=1.6013643875695
log 42(397.58)=1.6013711170265
log 42(397.59)=1.6013778463142
log 42(397.6)=1.6013845754327
log 42(397.61)=1.6013913043819
log 42(397.62)=1.601398033162
log 42(397.63)=1.6014047617727
log 42(397.64)=1.6014114902143
log 42(397.65)=1.6014182184867
log 42(397.66)=1.6014249465898
log 42(397.67)=1.6014316745238
log 42(397.68)=1.6014384022886
log 42(397.69)=1.6014451298842
log 42(397.7)=1.6014518573107
log 42(397.71)=1.601458584568
log 42(397.72)=1.6014653116561
log 42(397.73)=1.6014720385752
log 42(397.74)=1.601478765325
log 42(397.75)=1.6014854919058
log 42(397.76)=1.6014922183174
log 42(397.77)=1.60149894456
log 42(397.78)=1.6015056706334
log 42(397.79)=1.6015123965378
log 42(397.8)=1.6015191222731
log 42(397.81)=1.6015258478393
log 42(397.82)=1.6015325732364
log 42(397.83)=1.6015392984645
log 42(397.84)=1.6015460235235
log 42(397.85)=1.6015527484135
log 42(397.86)=1.6015594731345
log 42(397.87)=1.6015661976865
log 42(397.88)=1.6015729220694
log 42(397.89)=1.6015796462834
log 42(397.9)=1.6015863703283
log 42(397.91)=1.6015930942043
log 42(397.92)=1.6015998179113
log 42(397.93)=1.6016065414493
log 42(397.94)=1.6016132648183
log 42(397.95)=1.6016199880184
log 42(397.96)=1.6016267110496
log 42(397.97)=1.6016334339118
log 42(397.98)=1.6016401566051
log 42(397.99)=1.6016468791295
log 42(398)=1.601653601485
log 42(398.01)=1.6016603236715
log 42(398.02)=1.6016670456892
log 42(398.03)=1.601673767538
log 42(398.04)=1.6016804892179
log 42(398.05)=1.6016872107289
log 42(398.06)=1.6016939320711
log 42(398.07)=1.6017006532445
log 42(398.08)=1.601707374249
log 42(398.09)=1.6017140950846
log 42(398.1)=1.6017208157515
log 42(398.11)=1.6017275362495
log 42(398.12)=1.6017342565787
log 42(398.13)=1.6017409767391
log 42(398.14)=1.6017476967307
log 42(398.15)=1.6017544165536
log 42(398.16)=1.6017611362076
log 42(398.17)=1.6017678556929
log 42(398.18)=1.6017745750095
log 42(398.19)=1.6017812941573
log 42(398.2)=1.6017880131363
log 42(398.21)=1.6017947319466
log 42(398.22)=1.6018014505882
log 42(398.23)=1.6018081690611
log 42(398.24)=1.6018148873653
log 42(398.25)=1.6018216055008
log 42(398.26)=1.6018283234676
log 42(398.27)=1.6018350412657
log 42(398.28)=1.6018417588951
log 42(398.29)=1.6018484763559
log 42(398.3)=1.601855193648
log 42(398.31)=1.6018619107715
log 42(398.32)=1.6018686277263
log 42(398.33)=1.6018753445125
log 42(398.34)=1.6018820611301
log 42(398.35)=1.6018887775791
log 42(398.36)=1.6018954938594
log 42(398.37)=1.6019022099712
log 42(398.38)=1.6019089259144
log 42(398.39)=1.601915641689
log 42(398.4)=1.601922357295
log 42(398.41)=1.6019290727325
log 42(398.42)=1.6019357880014
log 42(398.43)=1.6019425031018
log 42(398.44)=1.6019492180336
log 42(398.45)=1.6019559327969
log 42(398.46)=1.6019626473917
log 42(398.47)=1.601969361818
log 42(398.48)=1.6019760760757
log 42(398.49)=1.601982790165
log 42(398.5)=1.6019895040858
log 42(398.51)=1.6019962178381

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