Home » Logarithms of 16 » Log16 (256)

Log 16 (256)

Log 16 (256) is the logarithm of 256 to the base 16:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log16 (256) = 2.

Calculate Log Base 16 of 256

To solve the equation log 16 (256) = 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 = 256, a = 16:
    log 16 (256) = log(256) / log(16)
  3. Evaluate the term:
    log(256) / log(16)
    = 1.39794000867204 / 1.92427928606188
    = 2
    = Logarithm of 256 with base 16
Here’s the logarithm of 16 to the base 256.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 16 2 = 256
  • 16 2 = 256 is the exponential form of log16 (256)
  • 16 is the logarithm base of log16 (256)
  • 256 is the argument of log16 (256)
  • 2 is the exponent or power of 16 2 = 256
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 256?

Log16 (256) = 2.

How do you find the value of log 16256?

Carry out the change of base logarithm operation.

What does log 16 256 mean?

It means the logarithm of 256 with base 16.

How do you solve log base 16 256?

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

What is the log base 16 of 256?

The value is 2.

How do you write log 16 256 in exponential form?

In exponential form is 16 2 = 256.

What is log16 (256) equal to?

log base 16 of 256 = 2.
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 256 = 2.

You now know everything about the logarithm with base 16, argument 256 and exponent 2.
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 (256).

Table

Our quick conversion table is easy to use:
log 16(x) Value
log 16(255.5)=1.9992948702344
log 16(255.51)=1.999308986348
log 16(255.52)=1.9993231019091
log 16(255.53)=1.9993372169178
log 16(255.54)=1.9993513313742
log 16(255.55)=1.9993654452782
log 16(255.56)=1.9993795586299
log 16(255.57)=1.9993936714294
log 16(255.58)=1.9994077836767
log 16(255.59)=1.9994218953719
log 16(255.6)=1.9994360065149
log 16(255.61)=1.9994501171059
log 16(255.62)=1.9994642271448
log 16(255.63)=1.9994783366318
log 16(255.64)=1.9994924455668
log 16(255.65)=1.9995065539499
log 16(255.66)=1.9995206617812
log 16(255.67)=1.9995347690606
log 16(255.68)=1.9995488757883
log 16(255.69)=1.9995629819643
log 16(255.7)=1.9995770875886
log 16(255.71)=1.9995911926612
log 16(255.72)=1.9996052971823
log 16(255.73)=1.9996194011518
log 16(255.74)=1.9996335045698
log 16(255.75)=1.9996476074363
log 16(255.76)=1.9996617097514
log 16(255.77)=1.9996758115152
log 16(255.78)=1.9996899127276
log 16(255.79)=1.9997040133887
log 16(255.8)=1.9997181134986
log 16(255.81)=1.9997322130572
log 16(255.82)=1.9997463120647
log 16(255.83)=1.9997604105211
log 16(255.84)=1.9997745084264
log 16(255.85)=1.9997886057807
log 16(255.86)=1.9998027025839
log 16(255.87)=1.9998167988363
log 16(255.88)=1.9998308945377
log 16(255.89)=1.9998449896883
log 16(255.9)=1.999859084288
log 16(255.91)=1.999873178337
log 16(255.92)=1.9998872718352
log 16(255.93)=1.9999013647828
log 16(255.94)=1.9999154571797
log 16(255.95)=1.999929549026
log 16(255.96)=1.9999436403218
log 16(255.97)=1.999957731067
log 16(255.98)=1.9999718212617
log 16(255.99)=1.9999859109061
log 16(256)=2
log 16(256.01)=2.0000140885436
log 16(256.02)=2.0000281765369
log 16(256.03)=2.0000422639799
log 16(256.04)=2.0000563508727
log 16(256.05)=2.0000704372154
log 16(256.06)=2.0000845230079
log 16(256.07)=2.0000986082503
log 16(256.08)=2.0001126929427
log 16(256.09)=2.0001267770851
log 16(256.1)=2.0001408606775
log 16(256.11)=2.00015494372
log 16(256.12)=2.0001690262127
log 16(256.13)=2.0001831081555
log 16(256.14)=2.0001971895485
log 16(256.15)=2.0002112703918
log 16(256.16)=2.0002253506854
log 16(256.17)=2.0002394304293
log 16(256.18)=2.0002535096236
log 16(256.19)=2.0002675882684
log 16(256.2)=2.0002816663636
log 16(256.21)=2.0002957439093
log 16(256.22)=2.0003098209056
log 16(256.23)=2.0003238973525
log 16(256.24)=2.00033797325
log 16(256.25)=2.0003520485982
log 16(256.26)=2.0003661233971
log 16(256.27)=2.0003801976469
log 16(256.28)=2.0003942713474
log 16(256.29)=2.0004083444988
log 16(256.3)=2.0004224171011
log 16(256.31)=2.0004364891543
log 16(256.32)=2.0004505606585
log 16(256.33)=2.0004646316137
log 16(256.34)=2.0004787020201
log 16(256.35)=2.0004927718775
log 16(256.36)=2.0005068411861
log 16(256.37)=2.0005209099459
log 16(256.38)=2.0005349781569
log 16(256.39)=2.0005490458192
log 16(256.4)=2.0005631129328
log 16(256.41)=2.0005771794979
log 16(256.42)=2.0005912455143
log 16(256.43)=2.0006053109822
log 16(256.44)=2.0006193759016
log 16(256.45)=2.0006334402725
log 16(256.46)=2.000647504095
log 16(256.47)=2.0006615673691
log 16(256.48)=2.000675630095
log 16(256.49)=2.0006896922725
log 16(256.5)=2.0007037539018
log 16(256.51)=2.0007178149828

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