Home » Logarithms of 16 » Log16 (4)

Log 16 (4)

Log 16 (4) is the logarithm of 4 to the base 16:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log16 (4) = 0.5.

Calculate Log Base 16 of 4

To solve the equation log 16 (4) = 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 = 4, a = 16:
    log 16 (4) = log(4) / log(16)
  3. Evaluate the term:
    log(4) / log(16)
    = 1.39794000867204 / 1.92427928606188
    = 0.5
    = Logarithm of 4 with base 16
Here’s the logarithm of 16 to the base 4.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 16 0.5 = 4
  • 16 0.5 = 4 is the exponential form of log16 (4)
  • 16 is the logarithm base of log16 (4)
  • 4 is the argument of log16 (4)
  • 0.5 is the exponent or power of 16 0.5 = 4
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log16 4?

Log16 (4) = 0.5.

How do you find the value of log 164?

Carry out the change of base logarithm operation.

What does log 16 4 mean?

It means the logarithm of 4 with base 16.

How do you solve log base 16 4?

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

What is the log base 16 of 4?

The value is 0.5.

How do you write log 16 4 in exponential form?

In exponential form is 16 0.5 = 4.

What is log16 (4) equal to?

log base 16 of 4 = 0.5.
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 16 of 4 = 0.5.

You now know everything about the logarithm with base 16, argument 4 and exponent 0.5.
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 Log16 (4).

Table

Our quick conversion table is easy to use:
log 16(x) Value
log 16(3.5)=0.4518387305144
log 16(3.51)=0.45286775763246
log 16(3.52)=0.45389385721564
log 16(3.53)=0.45491704587411
log 16(3.54)=0.45593734007707
log 16(3.55)=0.45695475615433
log 16(3.56)=0.45796931029792
log 16(3.57)=0.45898101856359
log 16(3.58)=0.45998989687238
log 16(3.59)=0.46099596101208
log 16(3.6)=0.46199922663874
log 16(3.61)=0.46299970927811
log 16(3.62)=0.46399742432712
log 16(3.63)=0.46499238705526
log 16(3.64)=0.46598461260599
log 16(3.65)=0.46697411599816
log 16(3.66)=0.46796091212733
log 16(3.67)=0.46894501576712
log 16(3.68)=0.46992644157057
log 16(3.69)=0.47090520407142
log 16(3.7)=0.4718813176854
log 16(3.71)=0.47285479671152
log 16(3.72)=0.47382565533333
log 16(3.73)=0.47479390762013
log 16(3.74)=0.47575956752823
log 16(3.75)=0.47672264890213
log 16(3.76)=0.47768316547573
log 16(3.77)=0.47864113087348
log 16(3.78)=0.47959655861159
log 16(3.79)=0.48054946209909
log 16(3.8)=0.48149985463906
log 16(3.81)=0.48244774942965
log 16(3.82)=0.48339315956526
log 16(3.83)=0.48433609803756
log 16(3.84)=0.48527657773661
log 16(3.85)=0.48621461145188
log 16(3.86)=0.48715021187334
log 16(3.87)=0.48808339159242
log 16(3.88)=0.4890141631031
log 16(3.89)=0.48994253880287
log 16(3.9)=0.49086853099372
log 16(3.91)=0.49179215188316
log 16(3.92)=0.49271341358512
log 16(3.93)=0.49363232812097
log 16(3.94)=0.49454890742041
log 16(3.95)=0.49546316332243
log 16(3.96)=0.49637510757622
log 16(3.97)=0.49728475184206
log 16(3.98)=0.49819210769223
log 16(3.99)=0.4990971866119
log 16(4)=0.5
log 16(4.01)=0.50090055917005
log 16(4.02)=0.50179887535105
log 16(4.03)=0.50269495968831
log 16(4.04)=0.50358882324427
log 16(4.05)=0.50448047699931
log 16(4.06)=0.50536993185261
log 16(4.07)=0.50625719862288
log 16(4.08)=0.50714228804919
log 16(4.09)=0.50802521079175
log 16(4.1)=0.50890597743268
log 16(4.11)=0.50978459847674
log 16(4.12)=0.51066108435212
log 16(4.13)=0.51153544541118
log 16(4.14)=0.51240769193115
log 16(4.15)=0.51327783411489
log 16(4.16)=0.51414588209159
log 16(4.17)=0.51501184591748
log 16(4.18)=0.51587573557654
log 16(4.19)=0.51673756098116
log 16(4.2)=0.51759733197285
log 16(4.21)=0.51845505832292
log 16(4.22)=0.51931074973311
log 16(4.23)=0.5201644158363
log 16(4.24)=0.52101606619712
log 16(4.25)=0.52186571031258
log 16(4.26)=0.52271335761278
log 16(4.27)=0.52355901746144
log 16(4.28)=0.5244026991566
log 16(4.29)=0.5252444119312
log 16(4.3)=0.52608416495368
log 16(4.31)=0.52692196732859
log 16(4.32)=0.52775782809718
log 16(4.33)=0.528591756238
log 16(4.34)=0.52942376066744
log 16(4.35)=0.53025385024034
log 16(4.36)=0.53108203375055
log 16(4.37)=0.53190831993147
log 16(4.38)=0.53273271745661
log 16(4.39)=0.53355523494016
log 16(4.4)=0.53437588093748
log 16(4.41)=0.5351946639457
log 16(4.42)=0.53601159240418
log 16(4.43)=0.53682667469507
log 16(4.44)=0.53763991914384
log 16(4.45)=0.53845133401976
log 16(4.46)=0.53926092753639
log 16(4.47)=0.54006870785215
log 16(4.48)=0.54087468307072
log 16(4.49)=0.5416788612416
log 16(4.5)=0.54248125036058
log 16(4.51)=0.54328185837016

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