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Log 16 (64)

Log 16 (64) is the logarithm of 64 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 (64) = 1.5.

Calculate Log Base 16 of 64

To solve the equation log 16 (64) = 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 = 64, a = 16:
    log 16 (64) = log(64) / log(16)
  3. Evaluate the term:
    log(64) / log(16)
    = 1.39794000867204 / 1.92427928606188
    = 1.5
    = Logarithm of 64 with base 16
Here’s the logarithm of 16 to the base 64.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 16 1.5 = 64
  • 16 1.5 = 64 is the exponential form of log16 (64)
  • 16 is the logarithm base of log16 (64)
  • 64 is the argument of log16 (64)
  • 1.5 is the exponent or power of 16 1.5 = 64
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 64?

Log16 (64) = 1.5.

How do you find the value of log 1664?

Carry out the change of base logarithm operation.

What does log 16 64 mean?

It means the logarithm of 64 with base 16.

How do you solve log base 16 64?

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

What is the log base 16 of 64?

The value is 1.5.

How do you write log 16 64 in exponential form?

In exponential form is 16 1.5 = 64.

What is log16 (64) equal to?

log base 16 of 64 = 1.5.

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 64 = 1.5.

You now know everything about the logarithm with base 16, argument 64 and exponent 1.5.
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 (64).

Table

Our quick conversion table is easy to use:
log 16(x) Value
log 16(63.5)=1.497171171693
log 16(63.51)=1.4972279662385
log 16(63.52)=1.4972847518421
log 16(63.53)=1.4973415285065
log 16(63.54)=1.4973982962347
log 16(63.55)=1.4974550550294
log 16(63.56)=1.4975118048934
log 16(63.57)=1.4975685458297
log 16(63.58)=1.4976252778408
log 16(63.59)=1.4976820009297
log 16(63.6)=1.4977387150992
log 16(63.61)=1.4977954203521
log 16(63.62)=1.4978521166912
log 16(63.63)=1.4979088041192
log 16(63.64)=1.4979654826391
log 16(63.65)=1.4980221522535
log 16(63.66)=1.4980788129653
log 16(63.67)=1.4981354647773
log 16(63.68)=1.4981921076922
log 16(63.69)=1.498248741713
log 16(63.7)=1.4983053668422
log 16(63.71)=1.4983619830829
log 16(63.72)=1.4984185904376
log 16(63.73)=1.4984751889094
log 16(63.74)=1.4985317785008
log 16(63.75)=1.4985883592147
log 16(63.76)=1.4986449310539
log 16(63.77)=1.4987014940212
log 16(63.78)=1.4987580481194
log 16(63.79)=1.4988145933512
log 16(63.8)=1.4988711297194
log 16(63.81)=1.4989276572268
log 16(63.82)=1.4989841758761
log 16(63.83)=1.4990406856703
log 16(63.84)=1.4990971866119
log 16(63.85)=1.4991536787038
log 16(63.86)=1.4992101619488
log 16(63.87)=1.4992666363497
log 16(63.88)=1.4993231019091
log 16(63.89)=1.4993795586299
log 16(63.9)=1.4994360065149
log 16(63.91)=1.4994924455668
log 16(63.92)=1.4995488757883
log 16(63.93)=1.4996052971823
log 16(63.94)=1.4996617097514
log 16(63.95)=1.4997181134986
log 16(63.96)=1.4997745084264
log 16(63.97)=1.4998308945377
log 16(63.98)=1.4998872718352
log 16(63.99)=1.4999436403218
log 16(64)=1.5
log 16(64.01)=1.5000563508727
log 16(64.02)=1.5001126929427
log 16(64.03)=1.5001690262127
log 16(64.04)=1.5002253506854
log 16(64.05)=1.5002816663636
log 16(64.06)=1.50033797325
log 16(64.07)=1.5003942713474
log 16(64.08)=1.5004505606585
log 16(64.09)=1.5005068411861
log 16(64.1)=1.5005631129328
log 16(64.11)=1.5006193759016
log 16(64.12)=1.500675630095
log 16(64.13)=1.5007318755158
log 16(64.14)=1.5007881121667
log 16(64.15)=1.5008443400506
log 16(64.16)=1.50090055917
log 16(64.17)=1.5009567695279
log 16(64.18)=1.5010129711268
log 16(64.19)=1.5010691639695
log 16(64.2)=1.5011253480587
log 16(64.21)=1.5011815233973
log 16(64.22)=1.5012376899878
log 16(64.23)=1.501293847833
log 16(64.24)=1.5013499969356
log 16(64.25)=1.5014061372985
log 16(64.26)=1.5014622689242
log 16(64.27)=1.5015183918155
log 16(64.28)=1.5015745059751
log 16(64.29)=1.5016306114057
log 16(64.3)=1.5016867081101
log 16(64.31)=1.501742796091
log 16(64.32)=1.5017988753511
log 16(64.33)=1.501854945893
log 16(64.34)=1.5019110077195
log 16(64.35)=1.5019670608333
log 16(64.36)=1.5020231052372
log 16(64.37)=1.5020791409337
log 16(64.38)=1.5021351679257
log 16(64.39)=1.5021911862159
log 16(64.4)=1.5022471958068
log 16(64.41)=1.5023031967013
log 16(64.42)=1.502359188902
log 16(64.43)=1.5024151724117
log 16(64.44)=1.502471147233
log 16(64.45)=1.5025271133686
log 16(64.46)=1.5025830708212
log 16(64.47)=1.5026390195936
log 16(64.48)=1.5026949596883
log 16(64.49)=1.5027508911082
log 16(64.5)=1.5028068138558

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