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Log 213 (42)

Log 213 (42) is the logarithm of 42 to the base 213:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log213 (42) = 0.69715835338901.

Calculate Log Base 213 of 42

To solve the equation log 213 (42) = 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 = 42, a = 213:
    log 213 (42) = log(42) / log(213)
  3. Evaluate the term:
    log(42) / log(213)
    = 1.39794000867204 / 1.92427928606188
    = 0.69715835338901
    = Logarithm of 42 with base 213
Here’s the logarithm of 213 to the base 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 213 0.69715835338901 = 42
  • 213 0.69715835338901 = 42 is the exponential form of log213 (42)
  • 213 is the logarithm base of log213 (42)
  • 42 is the argument of log213 (42)
  • 0.69715835338901 is the exponent or power of 213 0.69715835338901 = 42
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log213 42?

Log213 (42) = 0.69715835338901.

How do you find the value of log 21342?

Carry out the change of base logarithm operation.

What does log 213 42 mean?

It means the logarithm of 42 with base 213.

How do you solve log base 213 42?

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

What is the log base 213 of 42?

The value is 0.69715835338901.

How do you write log 213 42 in exponential form?

In exponential form is 213 0.69715835338901 = 42.

What is log213 (42) equal to?

log base 213 of 42 = 0.69715835338901.
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 213 of 42 = 0.69715835338901.

You now know everything about the logarithm with base 213, argument 42 and exponent 0.69715835338901.
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 Log213 (42).

Table

Our quick conversion table is easy to use:
log 213(x) Value
log 213(41.5)=0.69492452790878
log 213(41.51)=0.69496946760258
log 213(41.52)=0.69501439647145
log 213(41.53)=0.6950593145206
log 213(41.54)=0.69510422175525
log 213(41.55)=0.6951491181806
log 213(41.56)=0.69519400380185
log 213(41.57)=0.6952388786242
log 213(41.58)=0.69528374265285
log 213(41.59)=0.69532859589299
log 213(41.6)=0.6953734383498
log 213(41.61)=0.69541827002847
log 213(41.62)=0.69546309093418
log 213(41.63)=0.69550790107211
log 213(41.64)=0.69555270044742
log 213(41.65)=0.69559748906528
log 213(41.66)=0.69564226693087
log 213(41.67)=0.69568703404934
log 213(41.68)=0.69573179042585
log 213(41.69)=0.69577653606556
log 213(41.7)=0.6958212709736
log 213(41.71)=0.69586599515514
log 213(41.72)=0.69591070861531
log 213(41.73)=0.69595541135926
log 213(41.74)=0.69600010339211
log 213(41.75)=0.696044784719
log 213(41.76)=0.69608945534505
log 213(41.77)=0.6961341152754
log 213(41.78)=0.69617876451516
log 213(41.79)=0.69622340306945
log 213(41.8)=0.69626803094339
log 213(41.81)=0.69631264814207
log 213(41.82)=0.69635725467061
log 213(41.83)=0.69640185053412
log 213(41.84)=0.69644643573768
log 213(41.85)=0.69649101028639
log 213(41.86)=0.69653557418535
log 213(41.87)=0.69658012743965
log 213(41.88)=0.69662467005436
log 213(41.89)=0.69666920203456
log 213(41.9)=0.69671372338534
log 213(41.91)=0.69675823411177
log 213(41.92)=0.69680273421892
log 213(41.93)=0.69684722371184
log 213(41.94)=0.69689170259561
log 213(41.95)=0.69693617087529
log 213(41.96)=0.69698062855592
log 213(41.97)=0.69702507564256
log 213(41.98)=0.69706951214026
log 213(41.99)=0.69711393805406
log 213(42)=0.69715835338901
log 213(42.01)=0.69720275815013
log 213(42.02)=0.69724715234246
log 213(42.03)=0.69729153597104
log 213(42.04)=0.69733590904088
log 213(42.05)=0.69738027155702
log 213(42.06)=0.69742462352446
log 213(42.07)=0.69746896494823
log 213(42.08)=0.69751329583334
log 213(42.09)=0.69755761618479
log 213(42.1)=0.6976019260076
log 213(42.11)=0.69764622530675
log 213(42.12)=0.69769051408725
log 213(42.13)=0.6977347923541
log 213(42.14)=0.69777906011228
log 213(42.15)=0.69782331736678
log 213(42.16)=0.69786756412258
log 213(42.17)=0.69791180038467
log 213(42.18)=0.69795602615801
log 213(42.19)=0.69800024144759
log 213(42.2)=0.69804444625837
log 213(42.21)=0.69808864059531
log 213(42.22)=0.69813282446339
log 213(42.23)=0.69817699786756
log 213(42.24)=0.69822116081276
log 213(42.25)=0.69826531330396
log 213(42.26)=0.69830945534611
log 213(42.27)=0.69835358694414
log 213(42.28)=0.698397708103
log 213(42.29)=0.69844181882763
log 213(42.3)=0.69848591912295
log 213(42.31)=0.69853000899391
log 213(42.32)=0.69857408844542
log 213(42.33)=0.69861815748242
log 213(42.34)=0.69866221610981
log 213(42.35)=0.69870626433252
log 213(42.36)=0.69875030215547
log 213(42.37)=0.69879432958355
log 213(42.38)=0.69883834662168
log 213(42.39)=0.69888235327476
log 213(42.4)=0.69892634954769
log 213(42.41)=0.69897033544536
log 213(42.42)=0.69901431097267
log 213(42.43)=0.6990582761345
log 213(42.44)=0.69910223093574
log 213(42.45)=0.69914617538128
log 213(42.46)=0.69919010947598
log 213(42.47)=0.69923403322473
log 213(42.48)=0.6992779466324
log 213(42.49)=0.69932184970386
log 213(42.5)=0.69936574244396
log 213(42.51)=0.69940962485758

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