Home » Logarithms of 64 » Log64 (4)

Log 64 (4)

Log 64 (4) is the logarithm of 4 to the base 64:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log64 (4) = 0.33333333333333.

Calculate Log Base 64 of 4

To solve the equation log 64 (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 = 64:
    log 64 (4) = log(4) / log(64)
  3. Evaluate the term:
    log(4) / log(64)
    = 1.39794000867204 / 1.92427928606188
    = 0.33333333333333
    = Logarithm of 4 with base 64
Here’s the logarithm of 64 to the base 4.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 64 0.33333333333333 = 4
  • 64 0.33333333333333 = 4 is the exponential form of log64 (4)
  • 64 is the logarithm base of log64 (4)
  • 4 is the argument of log64 (4)
  • 0.33333333333333 is the exponent or power of 64 0.33333333333333 = 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 log64 4?

Log64 (4) = 0.33333333333333.

How do you find the value of log 644?

Carry out the change of base logarithm operation.

What does log 64 4 mean?

It means the logarithm of 4 with base 64.

How do you solve log base 64 4?

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

What is the log base 64 of 4?

The value is 0.33333333333333.

How do you write log 64 4 in exponential form?

In exponential form is 64 0.33333333333333 = 4.

What is log64 (4) equal to?

log base 64 of 4 = 0.33333333333333.
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 64 of 4 = 0.33333333333333.

You now know everything about the logarithm with base 64, argument 4 and exponent 0.33333333333333.
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 Log64 (4).

Table

Our quick conversion table is easy to use:
log 64(x) Value
log 64(3.5)=0.30122582034293
log 64(3.51)=0.30191183842164
log 64(3.52)=0.30259590481043
log 64(3.53)=0.30327803058274
log 64(3.54)=0.30395822671805
log 64(3.55)=0.30463650410289
log 64(3.56)=0.30531287353195
log 64(3.57)=0.30598734570906
log 64(3.58)=0.30665993124826
log 64(3.59)=0.30733064067472
log 64(3.6)=0.30799948442582
log 64(3.61)=0.30866647285207
log 64(3.62)=0.30933161621808
log 64(3.63)=0.3099949247035
log 64(3.64)=0.310656408404
log 64(3.65)=0.31131607733211
log 64(3.66)=0.31197394141822
log 64(3.67)=0.31263001051141
log 64(3.68)=0.31328429438038
log 64(3.69)=0.31393680271428
log 64(3.7)=0.3145875451236
log 64(3.71)=0.31523653114101
log 64(3.72)=0.31588377022222
log 64(3.73)=0.31652927174675
log 64(3.74)=0.31717304501882
log 64(3.75)=0.31781509926809
log 64(3.76)=0.31845544365049
log 64(3.77)=0.31909408724899
log 64(3.78)=0.31973103907439
log 64(3.79)=0.32036630806606
log 64(3.8)=0.3209999030927
log 64(3.81)=0.3216318329531
log 64(3.82)=0.32226210637684
log 64(3.83)=0.32289073202504
log 64(3.84)=0.32351771849107
log 64(3.85)=0.32414307430126
log 64(3.86)=0.32476680791556
log 64(3.87)=0.32538892772828
log 64(3.88)=0.32600944206873
log 64(3.89)=0.32662835920191
log 64(3.9)=0.32724568732915
log 64(3.91)=0.32786143458877
log 64(3.92)=0.32847560905675
log 64(3.93)=0.32908821874731
log 64(3.94)=0.32969927161361
log 64(3.95)=0.33030877554829
log 64(3.96)=0.33091673838415
log 64(3.97)=0.3315231678947
log 64(3.98)=0.33212807179482
log 64(3.99)=0.33273145774127
log 64(4)=0.33333333333333
log 64(4.01)=0.33393370611337
log 64(4.02)=0.33453258356737
log 64(4.03)=0.33512997312554
log 64(4.04)=0.33572588216284
log 64(4.05)=0.33632031799954
log 64(4.06)=0.33691328790174
log 64(4.07)=0.33750479908192
log 64(4.08)=0.33809485869946
log 64(4.09)=0.33868347386117
log 64(4.1)=0.33927065162179
log 64(4.11)=0.33985639898449
log 64(4.12)=0.34044072290141
log 64(4.13)=0.34102363027412
log 64(4.14)=0.3416051279541
log 64(4.15)=0.34218522274326
log 64(4.16)=0.34276392139439
log 64(4.17)=0.34334123061166
log 64(4.18)=0.34391715705103
log 64(4.19)=0.34449170732077
log 64(4.2)=0.3450648879819
log 64(4.21)=0.34563670554861
log 64(4.22)=0.34620716648874
log 64(4.23)=0.3467762772242
log 64(4.24)=0.34734404413141
log 64(4.25)=0.34791047354172
log 64(4.26)=0.34847557174185
log 64(4.27)=0.34903934497429
log 64(4.28)=0.34960179943774
log 64(4.29)=0.35016294128747
log 64(4.3)=0.35072277663579
log 64(4.31)=0.35128131155239
log 64(4.32)=0.35183855206479
log 64(4.33)=0.35239450415867
log 64(4.34)=0.35294917377829
log 64(4.35)=0.35350256682689
log 64(4.36)=0.35405468916703
log 64(4.37)=0.35460554662098
log 64(4.38)=0.35515514497107
log 64(4.39)=0.3557034899601
log 64(4.4)=0.35625058729165
log 64(4.41)=0.35679644263046
log 64(4.42)=0.35734106160278
log 64(4.43)=0.35788444979671
log 64(4.44)=0.35842661276256
log 64(4.45)=0.35896755601317
log 64(4.46)=0.35950728502426
log 64(4.47)=0.36004580523476
log 64(4.48)=0.36058312204715
log 64(4.49)=0.36111924082774
log 64(4.5)=0.36165416690705
log 64(4.51)=0.36218790558011

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