Home » Logarithms of 4 » Log4 (42)

Log 4 (42)

Log 4 (42) is the logarithm of 42 to the base 4:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log4 (42) = 2.6961587113894.

Calculate Log Base 4 of 42

To solve the equation log 4 (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 = 4:
    log 4 (42) = log(42) / log(4)
  3. Evaluate the term:
    log(42) / log(4)
    = 1.39794000867204 / 1.92427928606188
    = 2.6961587113894
    = Logarithm of 42 with base 4
Here’s the logarithm of 4 to the base 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 4 2.6961587113894 = 42
  • 4 2.6961587113894 = 42 is the exponential form of log4 (42)
  • 4 is the logarithm base of log4 (42)
  • 42 is the argument of log4 (42)
  • 2.6961587113894 is the exponent or power of 4 2.6961587113894 = 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 log4 42?

Log4 (42) = 2.6961587113894.

How do you find the value of log 442?

Carry out the change of base logarithm operation.

What does log 4 42 mean?

It means the logarithm of 42 with base 4.

How do you solve log base 4 42?

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

What is the log base 4 of 42?

The value is 2.6961587113894.

How do you write log 4 42 in exponential form?

In exponential form is 4 2.6961587113894 = 42.

What is log4 (42) equal to?

log base 4 of 42 = 2.6961587113894.
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 4 of 42 = 2.6961587113894.

You now know everything about the logarithm with base 4, argument 42 and exponent 2.6961587113894.
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 Log4 (42).

Table

Our quick conversion table is easy to use:
log 4(x) Value
log 4(41.5)=2.6875197156735
log 4(41.51)=2.6876935134144
log 4(41.52)=2.6878672692916
log 4(41.53)=2.688040983325
log 4(41.54)=2.688214655535
log 4(41.55)=2.6883882859415
log 4(41.56)=2.6885618745647
log 4(41.57)=2.6887354214248
log 4(41.58)=2.6889089265418
log 4(41.59)=2.6890823899358
log 4(41.6)=2.6892558116269
log 4(41.61)=2.689429191635
log 4(41.62)=2.6896025299803
log 4(41.63)=2.6897758266827
log 4(41.64)=2.6899490817623
log 4(41.65)=2.6901222952391
log 4(41.66)=2.690295467133
log 4(41.67)=2.6904685974639
log 4(41.68)=2.6906416862519
log 4(41.69)=2.6908147335168
log 4(41.7)=2.6909877392787
log 4(41.71)=2.6911607035572
log 4(41.72)=2.6913336263725
log 4(41.73)=2.6915065077443
log 4(41.74)=2.6916793476926
log 4(41.75)=2.691852146237
log 4(41.76)=2.6920249033976
log 4(41.77)=2.692197619194
log 4(41.78)=2.6923702936462
log 4(41.79)=2.6925429267738
log 4(41.8)=2.6927155185968
log 4(41.81)=2.6928880691347
log 4(41.82)=2.6930605784074
log 4(41.83)=2.6932330464347
log 4(41.84)=2.6934054732361
log 4(41.85)=2.6935778588315
log 4(41.86)=2.6937502032405
log 4(41.87)=2.6939225064828
log 4(41.88)=2.694094768578
log 4(41.89)=2.6942669895459
log 4(41.9)=2.694439169406
log 4(41.91)=2.6946113081779
log 4(41.92)=2.6947834058814
log 4(41.93)=2.6949554625358
log 4(41.94)=2.6951274781609
log 4(41.95)=2.6952994527762
log 4(41.96)=2.6954713864013
log 4(41.97)=2.6956432790556
log 4(41.98)=2.6958151307587
log 4(41.99)=2.6959869415301
log 4(42)=2.6961587113894
log 4(42.01)=2.6963304403559
log 4(42.02)=2.6965021284492
log 4(42.03)=2.6966737756886
log 4(42.04)=2.6968453820937
log 4(42.05)=2.6970169476839
log 4(42.06)=2.6971884724785
log 4(42.07)=2.697359956497
log 4(42.08)=2.6975313997588
log 4(42.09)=2.6977028022832
log 4(42.1)=2.6978741640895
log 4(42.11)=2.6980454851972
log 4(42.12)=2.6982167656255
log 4(42.13)=2.6983880053938
log 4(42.14)=2.6985592045213
log 4(42.15)=2.6987303630274
log 4(42.16)=2.6989014809312
log 4(42.17)=2.6990725582522
log 4(42.18)=2.6992435950095
log 4(42.19)=2.6994145912223
log 4(42.2)=2.6995855469099
log 4(42.21)=2.6997564620915
log 4(42.22)=2.6999273367862
log 4(42.23)=2.7000981710133
log 4(42.24)=2.7002689647919
log 4(42.25)=2.7004397181411
log 4(42.26)=2.7006104310801
log 4(42.27)=2.700781103628
log 4(42.28)=2.700951735804
log 4(42.29)=2.701122327627
log 4(42.3)=2.7012928791163
log 4(42.31)=2.7014633902908
log 4(42.32)=2.7016338611696
log 4(42.33)=2.7018042917718
log 4(42.34)=2.7019746821164
log 4(42.35)=2.7021450322224
log 4(42.36)=2.7023153421088
log 4(42.37)=2.7024856117946
log 4(42.38)=2.7026558412987
log 4(42.39)=2.7028260306402
log 4(42.4)=2.7029961798379
log 4(42.41)=2.7031662889109
log 4(42.42)=2.7033363578779
log 4(42.43)=2.703506386758
log 4(42.44)=2.70367637557
log 4(42.45)=2.7038463243328
log 4(42.46)=2.7040162330653
log 4(42.47)=2.7041861017863
log 4(42.48)=2.7043559305147
log 4(42.49)=2.7045257192693
log 4(42.5)=2.7046954680688
log 4(42.51)=2.7048651769322

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top