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Log 3 (77)

Log 3 (77) is the logarithm of 77 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (77) = 3.9539020878056.

Calculate Log Base 3 of 77

To solve the equation log 3 (77) = 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 = 77, a = 3:
    log 3 (77) = log(77) / log(3)
  3. Evaluate the term:
    log(77) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.9539020878056
    = Logarithm of 77 with base 3
Here’s the logarithm of 3 to the base 77.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.9539020878056 = 77
  • 3 3.9539020878056 = 77 is the exponential form of log3 (77)
  • 3 is the logarithm base of log3 (77)
  • 77 is the argument of log3 (77)
  • 3.9539020878056 is the exponent or power of 3 3.9539020878056 = 77
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log3 77?

Log3 (77) = 3.9539020878056.

How do you find the value of log 377?

Carry out the change of base logarithm operation.

What does log 3 77 mean?

It means the logarithm of 77 with base 3.

How do you solve log base 3 77?

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

What is the log base 3 of 77?

The value is 3.9539020878056.

How do you write log 3 77 in exponential form?

In exponential form is 3 3.9539020878056 = 77.

What is log3 (77) equal to?

log base 3 of 77 = 3.9539020878056.
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 3 of 77 = 3.9539020878056.

You now know everything about the logarithm with base 3, argument 77 and exponent 3.9539020878056.
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 Log3 (77).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(76.5)=3.9479721695911
log 3(76.51)=3.9480911473348
log 3(76.52)=3.9482101095288
log 3(76.53)=3.9483290561774
log 3(76.54)=3.9484479872844
log 3(76.55)=3.9485669028541
log 3(76.56)=3.9486858028904
log 3(76.57)=3.9488046873974
log 3(76.58)=3.9489235563792
log 3(76.59)=3.9490424098398
log 3(76.6)=3.9491612477832
log 3(76.61)=3.9492800702136
log 3(76.62)=3.949398877135
log 3(76.63)=3.9495176685513
log 3(76.64)=3.9496364444668
log 3(76.65)=3.9497552048853
log 3(76.66)=3.949873949811
log 3(76.67)=3.9499926792479
log 3(76.68)=3.9501113932
log 3(76.69)=3.9502300916714
log 3(76.7)=3.9503487746661
log 3(76.71)=3.9504674421882
log 3(76.72)=3.9505860942416
log 3(76.73)=3.9507047308305
log 3(76.74)=3.9508233519587
log 3(76.75)=3.9509419576305
log 3(76.76)=3.9510605478498
log 3(76.77)=3.9511791226205
log 3(76.78)=3.9512976819469
log 3(76.79)=3.9514162258328
log 3(76.8)=3.9515347542823
log 3(76.81)=3.9516532672994
log 3(76.82)=3.9517717648881
log 3(76.83)=3.9518902470525
log 3(76.84)=3.9520087137966
log 3(76.85)=3.9521271651243
log 3(76.86)=3.9522456010397
log 3(76.87)=3.9523640215468
log 3(76.88)=3.9524824266496
log 3(76.89)=3.9526008163522
log 3(76.9)=3.9527191906584
log 3(76.91)=3.9528375495724
log 3(76.92)=3.9529558930981
log 3(76.93)=3.9530742212395
log 3(76.94)=3.9531925340007
log 3(76.95)=3.9533108313855
log 3(76.96)=3.9534291133981
log 3(76.97)=3.9535473800424
log 3(76.98)=3.9536656313224
log 3(76.99)=3.9537838672422
log 3(77)=3.9539020878056
log 3(77.01)=3.9540202930166
log 3(77.02)=3.9541384828794
log 3(77.03)=3.9542566573978
log 3(77.04)=3.9543748165758
log 3(77.05)=3.9544929604174
log 3(77.06)=3.9546110889267
log 3(77.07)=3.9547292021075
log 3(77.08)=3.9548472999638
log 3(77.09)=3.9549653824997
log 3(77.1)=3.9550834497191
log 3(77.11)=3.955201501626
log 3(77.12)=3.9553195382243
log 3(77.13)=3.955437559518
log 3(77.14)=3.9555555655112
log 3(77.15)=3.9556735562076
log 3(77.16)=3.9557915316114
log 3(77.17)=3.9559094917265
log 3(77.18)=3.9560274365568
log 3(77.19)=3.9561453661063
log 3(77.2)=3.956263280379
log 3(77.21)=3.9563811793788
log 3(77.22)=3.9564990631096
log 3(77.23)=3.9566169315755
log 3(77.24)=3.9567347847804
log 3(77.25)=3.9568526227282
log 3(77.26)=3.9569704454229
log 3(77.27)=3.9570882528684
log 3(77.28)=3.9572060450688
log 3(77.29)=3.9573238220278
log 3(77.3)=3.9574415837495
log 3(77.31)=3.9575593302378
log 3(77.32)=3.9576770614967
log 3(77.33)=3.95779477753
log 3(77.34)=3.9579124783418
log 3(77.35)=3.9580301639359
log 3(77.36)=3.9581478343164
log 3(77.37)=3.9582654894871
log 3(77.38)=3.9583831294519
log 3(77.39)=3.9585007542148
log 3(77.4)=3.9586183637798
log 3(77.41)=3.9587359581507
log 3(77.42)=3.9588535373314
log 3(77.43)=3.958971101326
log 3(77.44)=3.9590886501383
log 3(77.45)=3.9592061837722
log 3(77.46)=3.9593237022317
log 3(77.47)=3.9594412055206
log 3(77.480000000001)=3.959558693643
log 3(77.490000000001)=3.9596761666026
log 3(77.500000000001)=3.9597936244035

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