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Log 6 (16)

Log 6 (16) is the logarithm of 16 to the base 6:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log6 (16) = 1.5474112289382.

Calculate Log Base 6 of 16

To solve the equation log 6 (16) = 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 = 16, a = 6:
    log 6 (16) = log(16) / log(6)
  3. Evaluate the term:
    log(16) / log(6)
    = 1.39794000867204 / 1.92427928606188
    = 1.5474112289382
    = Logarithm of 16 with base 6
Here’s the logarithm of 6 to the base 16.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 6 1.5474112289382 = 16
  • 6 1.5474112289382 = 16 is the exponential form of log6 (16)
  • 6 is the logarithm base of log6 (16)
  • 16 is the argument of log6 (16)
  • 1.5474112289382 is the exponent or power of 6 1.5474112289382 = 16
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log6 16?

Log6 (16) = 1.5474112289382.

How do you find the value of log 616?

Carry out the change of base logarithm operation.

What does log 6 16 mean?

It means the logarithm of 16 with base 6.

How do you solve log base 6 16?

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

What is the log base 6 of 16?

The value is 1.5474112289382.

How do you write log 6 16 in exponential form?

In exponential form is 6 1.5474112289382 = 16.

What is log6 (16) equal to?

log base 6 of 16 = 1.5474112289382.
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 6 of 16 = 1.5474112289382.

You now know everything about the logarithm with base 6, argument 16 and exponent 1.5474112289382.
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 Log6 (16).

Table

Our quick conversion table is easy to use:
log 6(x) Value
log 6(15.5)=1.5296919430296
log 6(15.51)=1.5300518982995
log 6(15.52)=1.5304116215646
log 6(15.53)=1.5307711131239
log 6(15.54)=1.5311303732757
log 6(15.55)=1.5314894023178
log 6(15.56)=1.5318482005471
log 6(15.57)=1.5322067682604
log 6(15.58)=1.5325651057537
log 6(15.59)=1.5329232133223
log 6(15.6)=1.5332810912612
log 6(15.61)=1.5336387398646
log 6(15.62)=1.5339961594263
log 6(15.63)=1.5343533502395
log 6(15.64)=1.5347103125967
log 6(15.65)=1.5350670467901
log 6(15.66)=1.5354235531111
log 6(15.67)=1.5357798318507
log 6(15.68)=1.5361358832992
log 6(15.69)=1.5364917077464
log 6(15.7)=1.5368473054816
log 6(15.71)=1.5372026767935
log 6(15.72)=1.5375578219704
log 6(15.73)=1.5379127412997
log 6(15.74)=1.5382674350686
log 6(15.75)=1.5386219035635
log 6(15.76)=1.5389761470705
log 6(15.77)=1.539330165875
log 6(15.78)=1.5396839602619
log 6(15.79)=1.5400375305154
log 6(15.8)=1.5403908769194
log 6(15.81)=1.5407439997573
log 6(15.82)=1.5410968993116
log 6(15.83)=1.5414495758646
log 6(15.84)=1.5418020296979
log 6(15.85)=1.5421542610927
log 6(15.86)=1.5425062703296
log 6(15.87)=1.5428580576886
log 6(15.88)=1.5432096234492
log 6(15.89)=1.5435609678905
log 6(15.9)=1.5439120912909
log 6(15.91)=1.5442629939284
log 6(15.92)=1.5446136760804
log 6(15.93)=1.5449641380238
log 6(15.94)=1.545314380035
log 6(15.95)=1.5456644023899
log 6(15.96)=1.5460142053638
log 6(15.97)=1.5463637892315
log 6(15.98)=1.5467131542674
log 6(15.99)=1.5470623007451
log 6(16)=1.5474112289382
log 6(16.01)=1.5477599391192
log 6(16.02)=1.5481084315604
log 6(16.03)=1.5484567065337
log 6(16.04)=1.5488047643102
log 6(16.05)=1.5491526051607
log 6(16.06)=1.5495002293554
log 6(16.07)=1.5498476371641
log 6(16.08)=1.5501948288558
log 6(16.09)=1.5505418046995
log 6(16.1)=1.5508885649633
log 6(16.11)=1.5512351099148
log 6(16.12)=1.5515814398214
log 6(16.13)=1.5519275549497
log 6(16.14)=1.552273455566
log 6(16.15)=1.5526191419361
log 6(16.16)=1.552964614325
log 6(16.17)=1.5533098729977
log 6(16.18)=1.5536549182183
log 6(16.19)=1.5539997502506
log 6(16.2)=1.5543443693579
log 6(16.21)=1.554688775803
log 6(16.22)=1.5550329698482
log 6(16.23)=1.5553769517552
log 6(16.24)=1.5557207217855
log 6(16.25)=1.5560642801999
log 6(16.26)=1.5564076272588
log 6(16.27)=1.556750763222
log 6(16.28)=1.5570936883489
log 6(16.29)=1.5574364028985
log 6(16.3)=1.5577789071293
log 6(16.31)=1.5581212012993
log 6(16.32)=1.5584632856658
log 6(16.33)=1.558805160486
log 6(16.34)=1.5591468260165
log 6(16.35)=1.5594882825132
log 6(16.36)=1.5598295302319
log 6(16.37)=1.5601705694277
log 6(16.38)=1.5605114003553
log 6(16.39)=1.5608520232689
log 6(16.4)=1.5611924384222
log 6(16.41)=1.5615326460685
log 6(16.42)=1.5618726464607
log 6(16.43)=1.5622124398512
log 6(16.44)=1.5625520264917
log 6(16.45)=1.5628914066339
log 6(16.46)=1.5632305805286
log 6(16.47)=1.5635695484264
log 6(16.48)=1.5639083105773
log 6(16.49)=1.564246867231
log 6(16.5)=1.5645852186367

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