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Log 3 (125)

Log 3 (125) is the logarithm of 125 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 (125) = 4.3949205621538.

Calculate Log Base 3 of 125

To solve the equation log 3 (125) = 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 = 125, a = 3:
    log 3 (125) = log(125) / log(3)
  3. Evaluate the term:
    log(125) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.3949205621538
    = Logarithm of 125 with base 3
Here’s the logarithm of 3 to the base 125.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.3949205621538 = 125
  • 3 4.3949205621538 = 125 is the exponential form of log3 (125)
  • 3 is the logarithm base of log3 (125)
  • 125 is the argument of log3 (125)
  • 4.3949205621538 is the exponent or power of 3 4.3949205621538 = 125
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 125?

Log3 (125) = 4.3949205621538.

How do you find the value of log 3125?

Carry out the change of base logarithm operation.

What does log 3 125 mean?

It means the logarithm of 125 with base 3.

How do you solve log base 3 125?

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

What is the log base 3 of 125?

The value is 4.3949205621538.

How do you write log 3 125 in exponential form?

In exponential form is 3 4.3949205621538 = 125.

What is log3 (125) equal to?

log base 3 of 125 = 4.3949205621538.
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 125 = 4.3949205621538.

You now know everything about the logarithm with base 3, argument 125 and exponent 4.3949205621538.
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 (125).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(124.5)=4.3912723038566
log 3(124.51)=4.391345412505
log 3(124.52)=4.3914185152819
log 3(124.53)=4.3914916121884
log 3(124.54)=4.3915647032252
log 3(124.55)=4.3916377883934
log 3(124.56)=4.3917108676938
log 3(124.57)=4.3917839411276
log 3(124.58)=4.3918570086955
log 3(124.59)=4.3919300703985
log 3(124.6)=4.3920031262376
log 3(124.61)=4.3920761762137
log 3(124.62)=4.3921492203277
log 3(124.63)=4.3922222585806
log 3(124.64)=4.3922952909734
log 3(124.65)=4.3923683175069
log 3(124.66)=4.3924413381821
log 3(124.67)=4.392514353
log 3(124.68)=4.3925873619615
log 3(124.69)=4.3926603650675
log 3(124.7)=4.392733362319
log 3(124.71)=4.3928063537168
log 3(124.72)=4.392879339262
log 3(124.73)=4.3929523189555
log 3(124.74)=4.3930252927982
log 3(124.75)=4.3930982607911
log 3(124.76)=4.3931712229351
log 3(124.77)=4.3932441792311
log 3(124.78)=4.3933171296801
log 3(124.79)=4.393390074283
log 3(124.8)=4.3934630130407
log 3(124.81)=4.3935359459542
log 3(124.82)=4.3936088730244
log 3(124.83)=4.3936817942523
log 3(124.84)=4.3937547096388
log 3(124.85)=4.3938276191848
log 3(124.86)=4.3939005228913
log 3(124.87)=4.3939734207592
log 3(124.88)=4.3940463127894
log 3(124.89)=4.3941191989828
log 3(124.9)=4.3941920793405
log 3(124.91)=4.3942649538633
log 3(124.92)=4.3943378225522
log 3(124.93)=4.3944106854081
log 3(124.94)=4.3944835424319
log 3(124.95)=4.3945563936246
log 3(124.96)=4.3946292389871
log 3(124.97)=4.3947020785203
log 3(124.98)=4.3947749122252
log 3(124.99)=4.3948477401027
log 3(125)=4.3949205621538
log 3(125.01)=4.3949933783793
log 3(125.02)=4.3950661887802
log 3(125.03)=4.3951389933575
log 3(125.04)=4.395211792112
log 3(125.05)=4.3952845850447
log 3(125.06)=4.3953573721565
log 3(125.07)=4.3954301534484
log 3(125.08)=4.3955029289213
log 3(125.09)=4.3955756985761
log 3(125.1)=4.3956484624138
log 3(125.11)=4.3957212204352
log 3(125.12)=4.3957939726414
log 3(125.13)=4.3958667190331
log 3(125.14)=4.3959394596115
log 3(125.15)=4.3960121943773
log 3(125.16)=4.3960849233316
log 3(125.17)=4.3961576464752
log 3(125.18)=4.3962303638091
log 3(125.19)=4.3963030753342
log 3(125.2)=4.3963757810515
log 3(125.21)=4.3964484809618
log 3(125.22)=4.3965211750661
log 3(125.23)=4.3965938633653
log 3(125.24)=4.3966665458604
log 3(125.25)=4.3967392225523
log 3(125.26)=4.3968118934418
log 3(125.27)=4.39688455853
log 3(125.28)=4.3969572178177
log 3(125.29)=4.3970298713059
log 3(125.3)=4.3971025189956
log 3(125.31)=4.3971751608875
log 3(125.32)=4.3972477969827
log 3(125.33)=4.3973204272821
log 3(125.34)=4.3973930517866
log 3(125.35)=4.3974656704971
log 3(125.36)=4.3975382834146
log 3(125.37)=4.39761089054
log 3(125.38)=4.3976834918742
log 3(125.39)=4.397756087418
log 3(125.4)=4.3978286771726
log 3(125.41)=4.3979012611387
log 3(125.42)=4.3979738393173
log 3(125.43)=4.3980464117094
log 3(125.44)=4.3981189783157
log 3(125.45)=4.3981915391374
log 3(125.46)=4.3982640941752
log 3(125.47)=4.3983366434302
log 3(125.48)=4.3984091869031
log 3(125.49)=4.398481724595
log 3(125.5)=4.3985542565068

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