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Log 3 (75)

Log 3 (75) is the logarithm of 75 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 (75) = 3.9299470414359.

Calculate Log Base 3 of 75

To solve the equation log 3 (75) = 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 = 75, a = 3:
    log 3 (75) = log(75) / log(3)
  3. Evaluate the term:
    log(75) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.9299470414359
    = Logarithm of 75 with base 3
Here’s the logarithm of 3 to the base 75.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.9299470414359 = 75
  • 3 3.9299470414359 = 75 is the exponential form of log3 (75)
  • 3 is the logarithm base of log3 (75)
  • 75 is the argument of log3 (75)
  • 3.9299470414359 is the exponent or power of 3 3.9299470414359 = 75
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 75?

Log3 (75) = 3.9299470414359.

How do you find the value of log 375?

Carry out the change of base logarithm operation.

What does log 3 75 mean?

It means the logarithm of 75 with base 3.

How do you solve log base 3 75?

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

What is the log base 3 of 75?

The value is 3.9299470414359.

How do you write log 3 75 in exponential form?

In exponential form is 3 3.9299470414359 = 75.

What is log3 (75) equal to?

log base 3 of 75 = 3.9299470414359.
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 75 = 3.9299470414359.

You now know everything about the logarithm with base 3, argument 75 and exponent 3.9299470414359.
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 (75).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(74.5)=3.9238584620346
log 3(74.51)=3.9239806335973
log 3(74.52)=3.9241027887644
log 3(74.53)=3.9242249275404
log 3(74.54)=3.9243470499296
log 3(74.55)=3.9244691559364
log 3(74.56)=3.9245912455653
log 3(74.57)=3.9247133188206
log 3(74.58)=3.9248353757067
log 3(74.59)=3.924957416228
log 3(74.6)=3.9250794403888
log 3(74.61)=3.9252014481937
log 3(74.62)=3.9253234396469
log 3(74.63)=3.9254454147528
log 3(74.64)=3.9255673735158
log 3(74.65)=3.9256893159404
log 3(74.66)=3.9258112420308
log 3(74.67)=3.9259331517915
log 3(74.68)=3.9260550452267
log 3(74.69)=3.926176922341
log 3(74.7)=3.9262987831387
log 3(74.71)=3.926420627624
log 3(74.72)=3.9265424558015
log 3(74.73)=3.9266642676754
log 3(74.74)=3.9267860632502
log 3(74.75)=3.9269078425302
log 3(74.76)=3.9270296055196
log 3(74.77)=3.927151352223
log 3(74.78)=3.9272730826447
log 3(74.79)=3.927394796789
log 3(74.8)=3.9275164946602
log 3(74.81)=3.9276381762628
log 3(74.82)=3.927759841601
log 3(74.83)=3.9278814906793
log 3(74.84)=3.9280031235019
log 3(74.85)=3.9281247400732
log 3(74.86)=3.9282463403976
log 3(74.87)=3.9283679244793
log 3(74.88)=3.9284894923228
log 3(74.89)=3.9286110439323
log 3(74.9)=3.9287325793122
log 3(74.91)=3.9288540984669
log 3(74.92)=3.9289756014006
log 3(74.93)=3.9290970881177
log 3(74.94)=3.9292185586226
log 3(74.95)=3.9293400129194
log 3(74.96)=3.9294614510127
log 3(74.97)=3.9295828729066
log 3(74.98)=3.9297042786056
log 3(74.99)=3.9298256681139
log 3(75)=3.9299470414359
log 3(75.01)=3.9300683985758
log 3(75.02)=3.930189739538
log 3(75.03)=3.9303110643268
log 3(75.04)=3.9304323729465
log 3(75.05)=3.9305536654014
log 3(75.06)=3.9306749416959
log 3(75.07)=3.9307962018341
log 3(75.08)=3.9309174458205
log 3(75.09)=3.9310386736594
log 3(75.1)=3.931159885355
log 3(75.11)=3.9312810809116
log 3(75.12)=3.9314022603335
log 3(75.13)=3.9315234236251
log 3(75.14)=3.9316445707906
log 3(75.15)=3.9317657018343
log 3(75.16)=3.9318868167605
log 3(75.17)=3.9320079155736
log 3(75.18)=3.9321289982776
log 3(75.19)=3.9322500648771
log 3(75.2)=3.9323711153762
log 3(75.21)=3.9324921497792
log 3(75.22)=3.9326131680904
log 3(75.23)=3.9327341703142
log 3(75.24)=3.9328551564547
log 3(75.25)=3.9329761265162
log 3(75.26)=3.933097080503
log 3(75.27)=3.9332180184195
log 3(75.28)=3.9333389402697
log 3(75.29)=3.9334598460581
log 3(75.3)=3.9335807357889
log 3(75.31)=3.9337016094664
log 3(75.32)=3.9338224670947
log 3(75.33)=3.9339433086783
log 3(75.34)=3.9340641342212
log 3(75.35)=3.9341849437279
log 3(75.36)=3.9343057372025
log 3(75.37)=3.9344265146493
log 3(75.38)=3.9345472760726
log 3(75.39)=3.9346680214766
log 3(75.4)=3.9347887508655
log 3(75.41)=3.9349094642437
log 3(75.42)=3.9350301616153
log 3(75.43)=3.9351508429846
log 3(75.44)=3.9352715083558
log 3(75.45)=3.9353921577333
log 3(75.46)=3.9355127911211
log 3(75.47)=3.9356334085236
log 3(75.480000000001)=3.935754009945
log 3(75.490000000001)=3.9358745953895
log 3(75.500000000001)=3.9359951648614

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