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Log 3 (128)

Log 3 (128) is the logarithm of 128 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 (128) = 4.4165082750002.

Calculate Log Base 3 of 128

To solve the equation log 3 (128) = 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 = 128, a = 3:
    log 3 (128) = log(128) / log(3)
  3. Evaluate the term:
    log(128) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.4165082750002
    = Logarithm of 128 with base 3
Here’s the logarithm of 3 to the base 128.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.4165082750002 = 128
  • 3 4.4165082750002 = 128 is the exponential form of log3 (128)
  • 3 is the logarithm base of log3 (128)
  • 128 is the argument of log3 (128)
  • 4.4165082750002 is the exponent or power of 3 4.4165082750002 = 128
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 128?

Log3 (128) = 4.4165082750002.

How do you find the value of log 3128?

Carry out the change of base logarithm operation.

What does log 3 128 mean?

It means the logarithm of 128 with base 3.

How do you solve log base 3 128?

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

What is the log base 3 of 128?

The value is 4.4165082750002.

How do you write log 3 128 in exponential form?

In exponential form is 3 4.4165082750002 = 128.

What is log3 (128) equal to?

log base 3 of 128 = 4.4165082750002.
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 128 = 4.4165082750002.

You now know everything about the logarithm with base 3, argument 128 and exponent 4.4165082750002.
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 (128).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(127.5)=4.412945690309
log 3(127.51)=4.4130170788214
log 3(127.52)=4.4130884617354
log 3(127.53)=4.4131598390517
log 3(127.54)=4.4132312107714
log 3(127.55)=4.4133025768953
log 3(127.56)=4.4133739374243
log 3(127.57)=4.4134452923592
log 3(127.58)=4.4135166417009
log 3(127.59)=4.4135879854503
log 3(127.6)=4.4136593236083
log 3(127.61)=4.4137306561758
log 3(127.62)=4.4138019831536
log 3(127.63)=4.4138733045426
log 3(127.64)=4.4139446203437
log 3(127.65)=4.4140159305577
log 3(127.66)=4.4140872351856
log 3(127.67)=4.4141585342282
log 3(127.68)=4.4142298276863
log 3(127.69)=4.4143011155609
log 3(127.7)=4.4143723978529
log 3(127.71)=4.414443674563
log 3(127.72)=4.4145149456923
log 3(127.73)=4.4145862112415
log 3(127.74)=4.4146574712115
log 3(127.75)=4.4147287256032
log 3(127.76)=4.4147999744175
log 3(127.77)=4.4148712176553
log 3(127.78)=4.4149424553173
log 3(127.79)=4.4150136874046
log 3(127.8)=4.4150849139179
log 3(127.81)=4.4151561348582
log 3(127.82)=4.4152273502263
log 3(127.83)=4.415298560023
log 3(127.84)=4.4153697642494
log 3(127.85)=4.4154409629061
log 3(127.86)=4.4155121559941
log 3(127.87)=4.4155833435143
log 3(127.88)=4.4156545254676
log 3(127.89)=4.4157257018547
log 3(127.9)=4.4157968726767
log 3(127.91)=4.4158680379343
log 3(127.92)=4.4159391976284
log 3(127.93)=4.4160103517598
log 3(127.94)=4.4160815003296
log 3(127.95)=4.4161526433385
log 3(127.96)=4.4162237807873
log 3(127.97)=4.4162949126771
log 3(127.98)=4.4163660390086
log 3(127.99)=4.4164371597826
log 3(128)=4.4165082750002
log 3(128.01)=4.4165793846621
log 3(128.02)=4.4166504887692
log 3(128.03)=4.4167215873224
log 3(128.04)=4.4167926803225
log 3(128.05)=4.4168637677704
log 3(128.06)=4.4169348496671
log 3(128.07)=4.4170059260132
log 3(128.08)=4.4170769968098
log 3(128.09)=4.4171480620576
log 3(128.1)=4.4172191217576
log 3(128.11)=4.4172901759106
log 3(128.12)=4.4173612245175
log 3(128.13)=4.4174322675791
log 3(128.14)=4.4175033050964
log 3(128.15)=4.4175743370701
log 3(128.16)=4.4176453635011
log 3(128.17)=4.4177163843904
log 3(128.18)=4.4177873997387
log 3(128.19)=4.417858409547
log 3(128.2)=4.417929413816
log 3(128.21)=4.4180004125467
log 3(128.22)=4.41807140574
log 3(128.23)=4.4181423933966
log 3(128.24)=4.4182133755175
log 3(128.25)=4.4182843521035
log 3(128.26)=4.4183553231554
log 3(128.27)=4.4184262886742
log 3(128.28)=4.4184972486608
log 3(128.29)=4.4185682031159
log 3(128.3)=4.4186391520404
log 3(128.31)=4.4187100954352
log 3(128.32)=4.4187810333011
log 3(128.33)=4.4188519656391
log 3(128.34)=4.41892289245
log 3(128.35)=4.4189938137346
log 3(128.36)=4.4190647294938
log 3(128.37)=4.4191356397284
log 3(128.38)=4.4192065444394
log 3(128.39)=4.4192774436275
log 3(128.4)=4.4193483372937
log 3(128.41)=4.4194192254388
log 3(128.42)=4.4194901080637
log 3(128.43)=4.4195609851691
log 3(128.44)=4.4196318567561
log 3(128.45)=4.4197027228254
log 3(128.46)=4.4197735833779
log 3(128.47)=4.4198444384145
log 3(128.48)=4.4199152879359
log 3(128.49)=4.4199861319432
log 3(128.5)=4.420056970437
log 3(128.51)=4.4201278034184

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