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Log 16 (3)

Log 16 (3) is the logarithm of 3 to the base 16:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log16 (3) = 0.39624062518029.

Calculate Log Base 16 of 3

To solve the equation log 16 (3) = 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 = 3, a = 16:
    log 16 (3) = log(3) / log(16)
  3. Evaluate the term:
    log(3) / log(16)
    = 1.39794000867204 / 1.92427928606188
    = 0.39624062518029
    = Logarithm of 3 with base 16
Here’s the logarithm of 16 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 16 0.39624062518029 = 3
  • 16 0.39624062518029 = 3 is the exponential form of log16 (3)
  • 16 is the logarithm base of log16 (3)
  • 3 is the argument of log16 (3)
  • 0.39624062518029 is the exponent or power of 16 0.39624062518029 = 3
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 3?

Log16 (3) = 0.39624062518029.

How do you find the value of log 163?

Carry out the change of base logarithm operation.

What does log 16 3 mean?

It means the logarithm of 3 with base 16.

How do you solve log base 16 3?

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

What is the log base 16 of 3?

The value is 0.39624062518029.

How do you write log 16 3 in exponential form?

In exponential form is 16 0.39624062518029 = 3.

What is log16 (3) equal to?

log base 16 of 3 = 0.39624062518029.
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 3 = 0.39624062518029.

You now know everything about the logarithm with base 16, argument 3 and exponent 0.39624062518029.
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 (3).

Table

Our quick conversion table is easy to use:
log 16(x) Value
log 16(2.5)=0.33048202372184
log 16(2.51)=0.33192184104401
log 16(2.52)=0.3333559334313
log 16(2.53)=0.3347843462299
log 16(2.54)=0.33620712424936
log 16(2.55)=0.33762431177103
log 16(2.56)=0.33903595255632
log 16(2.57)=0.34044208985479
log 16(2.58)=0.34184276641213
log 16(2.59)=0.34323802447796
log 16(2.6)=0.34462790581343
log 16(2.61)=0.34601245169879
log 16(2.62)=0.34739170294068
log 16(2.63)=0.34876569987939
log 16(2.64)=0.35013448239593
log 16(2.65)=0.35149808991896
log 16(2.66)=0.35285656143162
log 16(2.67)=0.35420993547821
log 16(2.68)=0.35555825017076
log 16(2.69)=0.35690154319547
log 16(2.7)=0.35823985181903
log 16(2.71)=0.35957321289479
log 16(2.72)=0.3609016628689
log 16(2.73)=0.36222523778628
log 16(2.74)=0.36354397329645
log 16(2.75)=0.36485790465932
log 16(2.76)=0.36616706675086
log 16(2.77)=0.36747149406862
log 16(2.78)=0.36877122073719
log 16(2.79)=0.37006628051361
log 16(2.8)=0.37135670679256
log 16(2.81)=0.37264253261155
log 16(2.82)=0.37392379065602
log 16(2.83)=0.37520051326429
log 16(2.84)=0.37647273243249
log 16(2.85)=0.37774047981934
log 16(2.86)=0.37900378675092
log 16(2.87)=0.38026268422524
log 16(2.88)=0.3815172029169
log 16(2.89)=0.38276737318149
log 16(2.9)=0.38401322506005
log 16(2.91)=0.38525478828339
log 16(2.92)=0.38649209227632
log 16(2.93)=0.38772516616188
log 16(2.94)=0.38895403876541
log 16(2.95)=0.39017873861862
log 16(2.96)=0.39139929396356
log 16(2.97)=0.39261573275651
log 16(2.98)=0.39382808267186
log 16(2.99)=0.39503637110584
log 16(3)=0.39624062518029
log 16(3.01)=0.39744087174624
log 16(3.02)=0.39863713738759
log 16(3.03)=0.39982944842456
log 16(3.04)=0.40101783091721
log 16(3.05)=0.40220231066888
log 16(3.06)=0.40338291322948
log 16(3.07)=0.40455966389886
log 16(3.08)=0.40573258773004
log 16(3.09)=0.40690170953241
log 16(3.1)=0.40806705387488
log 16(3.11)=0.40922864508897
log 16(3.12)=0.41038650727188
log 16(3.13)=0.41154066428947
log 16(3.14)=0.41269113977922
log 16(3.15)=0.41383795715314
log 16(3.16)=0.41498113960059
log 16(3.17)=0.41612071009117
log 16(3.18)=0.41725669137741
log 16(3.19)=0.41838910599753
log 16(3.2)=0.41951797627816
log 16(3.21)=0.42064332433689
log 16(3.22)=0.42176517208497
log 16(3.23)=0.4228835412298
log 16(3.24)=0.42399845327747
log 16(3.25)=0.42510992953527
log 16(3.26)=0.42621799111409
log 16(3.27)=0.42732265893084
log 16(3.28)=0.42842395371084
log 16(3.29)=0.42952189599013
log 16(3.3)=0.43061650611777
log 16(3.31)=0.43170780425812
log 16(3.32)=0.43279581039305
log 16(3.33)=0.43388054432413
log 16(3.34)=0.43496202567483
log 16(3.35)=0.4360402738926
log 16(3.36)=0.43711530825101
log 16(3.37)=0.43818714785178
log 16(3.38)=0.43925581162686
log 16(3.39)=0.4403213183404
log 16(3.4)=0.44138368659074
log 16(3.41)=0.44244293481236
log 16(3.42)=0.44349908127779
log 16(3.43)=0.44455214409952
log 16(3.44)=0.44560214123184
log 16(3.45)=0.4466490904727
log 16(3.46)=0.4476930094655
log 16(3.47)=0.44873391570088
log 16(3.48)=0.4497718265185
log 16(3.49)=0.45080675910873
log 16(3.5)=0.4518387305144
log 16(3.51)=0.45286775763246

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