Home » Logarithms of 4 » Log4 (31)

Log 4 (31)

Log 4 (31) is the logarithm of 31 to the base 4:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log4 (31) = 2.4770981551934.

Calculate Log Base 4 of 31

To solve the equation log 4 (31) = 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 = 31, a = 4:
    log 4 (31) = log(31) / log(4)
  3. Evaluate the term:
    log(31) / log(4)
    = 1.39794000867204 / 1.92427928606188
    = 2.4770981551934
    = Logarithm of 31 with base 4
Here’s the logarithm of 4 to the base 31.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 4 2.4770981551934 = 31
  • 4 2.4770981551934 = 31 is the exponential form of log4 (31)
  • 4 is the logarithm base of log4 (31)
  • 31 is the argument of log4 (31)
  • 2.4770981551934 is the exponent or power of 4 2.4770981551934 = 31
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 31?

Log4 (31) = 2.4770981551934.

How do you find the value of log 431?

Carry out the change of base logarithm operation.

What does log 4 31 mean?

It means the logarithm of 31 with base 4.

How do you solve log base 4 31?

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

What is the log base 4 of 31?

The value is 2.4770981551934.

How do you write log 4 31 in exponential form?

In exponential form is 4 2.4770981551934 = 31.

What is log4 (31) equal to?

log base 4 of 31 = 2.4770981551934.

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 31 = 2.4770981551934.

You now know everything about the logarithm with base 4, argument 31 and exponent 2.4770981551934.
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 (31).

Table

Our quick conversion table is easy to use:
log 4(x) Value
log 4(30.5)=2.4653686687814
log 4(30.51)=2.465605137402
log 4(30.52)=2.4658415285299
log 4(30.53)=2.466077842216
log 4(30.54)=2.4663140785111
log 4(30.55)=2.4665502374657
log 4(30.56)=2.4667863191305
log 4(30.57)=2.4670223235561
log 4(30.58)=2.467258250793
log 4(30.59)=2.4674941008917
log 4(30.6)=2.4677298739026
log 4(30.61)=2.4679655698761
log 4(30.62)=2.4682011888625
log 4(30.63)=2.4684367309121
log 4(30.64)=2.4686721960751
log 4(30.65)=2.4689075844017
log 4(30.66)=2.469142895942
log 4(30.67)=2.4693781307461
log 4(30.68)=2.4696132888641
log 4(30.69)=2.4698483703459
log 4(30.7)=2.4700833752414
log 4(30.71)=2.4703183036006
log 4(30.72)=2.4705531554732
log 4(30.73)=2.4707879309091
log 4(30.74)=2.471022629958
log 4(30.75)=2.4712572526696
log 4(30.76)=2.4714917990936
log 4(30.77)=2.4717262692794
log 4(30.78)=2.4719606632767
log 4(30.79)=2.472194981135
log 4(30.8)=2.4724292229038
log 4(30.81)=2.4726633886323
log 4(30.82)=2.47289747837
log 4(30.83)=2.4731314921662
log 4(30.84)=2.4733654300702
log 4(30.85)=2.473599292131
log 4(30.86)=2.473833078398
log 4(30.87)=2.4740667889202
log 4(30.88)=2.4743004237467
log 4(30.89)=2.4745339829265
log 4(30.9)=2.4747674665085
log 4(30.91)=2.4750008745418
log 4(30.92)=2.4752342070751
log 4(30.93)=2.4754674641573
log 4(30.94)=2.4757006458372
log 4(30.95)=2.4759337521635
log 4(30.96)=2.4761667831848
log 4(30.97)=2.47639973895
log 4(30.98)=2.4766326195074
log 4(30.99)=2.4768654249057
log 4(31)=2.4770981551934
log 4(31.01)=2.477330810419
log 4(31.02)=2.4775633906307
log 4(31.03)=2.477795895877
log 4(31.04)=2.4780283262062
log 4(31.05)=2.4782606816666
log 4(31.06)=2.4784929623063
log 4(31.07)=2.4787251681736
log 4(31.08)=2.4789572993165
log 4(31.09)=2.4791893557832
log 4(31.1)=2.4794213376216
log 4(31.11)=2.4796532448798
log 4(31.12)=2.4798850776057
log 4(31.13)=2.4801168358472
log 4(31.14)=2.4803485196522
log 4(31.15)=2.4805801290683
log 4(31.16)=2.4808116641435
log 4(31.17)=2.4810431249253
log 4(31.18)=2.4812745114615
log 4(31.19)=2.4815058237997
log 4(31.2)=2.4817370619874
log 4(31.21)=2.4819682260722
log 4(31.22)=2.4821993161016
log 4(31.23)=2.4824303321229
log 4(31.24)=2.4826612741836
log 4(31.25)=2.482892142331
log 4(31.26)=2.4831229366125
log 4(31.27)=2.4833536570752
log 4(31.28)=2.4835843037663
log 4(31.29)=2.4838148767331
log 4(31.3)=2.4840453760226
log 4(31.31)=2.484275801682
log 4(31.32)=2.4845061537582
log 4(31.33)=2.4847364322982
log 4(31.34)=2.4849666373489
log 4(31.35)=2.4851967689573
log 4(31.36)=2.4854268271702
log 4(31.37)=2.4856568120344
log 4(31.38)=2.4858867235967
log 4(31.39)=2.4861165619037
log 4(31.4)=2.4863463270021
log 4(31.41)=2.4865760189386
log 4(31.42)=2.4868056377597
log 4(31.43)=2.487035183512
log 4(31.44)=2.4872646562419
log 4(31.45)=2.487494055996
log 4(31.46)=2.4877233828205
log 4(31.47)=2.4879526367619
log 4(31.48)=2.4881818178664
log 4(31.49)=2.4884109261803
log 4(31.5)=2.48863996175

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