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Log 3 (40)

Log 3 (40) is the logarithm of 40 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 (40) = 3.3577627814323.

Calculate Log Base 3 of 40

To solve the equation log 3 (40) = 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 = 40, a = 3:
    log 3 (40) = log(40) / log(3)
  3. Evaluate the term:
    log(40) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.3577627814323
    = Logarithm of 40 with base 3
Here’s the logarithm of 3 to the base 40.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.3577627814323 = 40
  • 3 3.3577627814323 = 40 is the exponential form of log3 (40)
  • 3 is the logarithm base of log3 (40)
  • 40 is the argument of log3 (40)
  • 3.3577627814323 is the exponent or power of 3 3.3577627814323 = 40
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 40?

Log3 (40) = 3.3577627814323.

How do you find the value of log 340?

Carry out the change of base logarithm operation.

What does log 3 40 mean?

It means the logarithm of 40 with base 3.

How do you solve log base 3 40?

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

What is the log base 3 of 40?

The value is 3.3577627814323.

How do you write log 3 40 in exponential form?

In exponential form is 3 3.3577627814323 = 40.

What is log3 (40) equal to?

log base 3 of 40 = 3.3577627814323.
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 40 = 3.3577627814323.

You now know everything about the logarithm with base 3, argument 40 and exponent 3.3577627814323.
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 (40).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(39.5)=3.3463130804444
log 3(39.51)=3.3465434915902
log 3(39.52)=3.3467738444262
log 3(39.53)=3.3470041389819
log 3(39.54)=3.3472343752869
log 3(39.55)=3.3474645533704
log 3(39.56)=3.3476946732621
log 3(39.57)=3.3479247349913
log 3(39.58)=3.3481547385873
log 3(39.59)=3.3483846840797
log 3(39.6)=3.3486145714977
log 3(39.61)=3.3488444008706
log 3(39.62)=3.3490741722278
log 3(39.63)=3.3493038855985
log 3(39.64)=3.349533541012
log 3(39.65)=3.3497631384975
log 3(39.66)=3.3499926780843
log 3(39.67)=3.3502221598016
log 3(39.68)=3.3504515836784
log 3(39.69)=3.3506809497441
log 3(39.7)=3.3509102580276
log 3(39.71)=3.3511395085581
log 3(39.72)=3.3513687013647
log 3(39.73)=3.3515978364765
log 3(39.74)=3.3518269139224
log 3(39.75)=3.3520559337316
log 3(39.76)=3.3522848959329
log 3(39.77)=3.3525138005554
log 3(39.78)=3.352742647628
log 3(39.79)=3.3529714371797
log 3(39.8)=3.3532001692394
log 3(39.81)=3.3534288438359
log 3(39.82)=3.3536574609981
log 3(39.83)=3.3538860207549
log 3(39.84)=3.3541145231351
log 3(39.85)=3.3543429681674
log 3(39.86)=3.3545713558808
log 3(39.87)=3.3547996863038
log 3(39.88)=3.3550279594653
log 3(39.89)=3.3552561753939
log 3(39.9)=3.3554843341184
log 3(39.91)=3.3557124356674
log 3(39.92)=3.3559404800696
log 3(39.93)=3.3561684673536
log 3(39.94)=3.3563963975481
log 3(39.95)=3.3566242706815
log 3(39.96)=3.3568520867824
log 3(39.97)=3.3570798458795
log 3(39.98)=3.3573075480011
log 3(39.99)=3.3575351931759
log 3(40)=3.3577627814323
log 3(40.01)=3.3579903127987
log 3(40.02)=3.3582177873036
log 3(40.03)=3.3584452049754
log 3(40.04)=3.3586725658425
log 3(40.05)=3.3588998699332
log 3(40.06)=3.359127117276
log 3(40.07)=3.3593543078991
log 3(40.08)=3.3595814418308
log 3(40.09)=3.3598085190994
log 3(40.1)=3.3600355397332
log 3(40.11)=3.3602625037605
log 3(40.12)=3.3604894112094
log 3(40.13)=3.3607162621082
log 3(40.14)=3.360943056485
log 3(40.15)=3.361169794368
log 3(40.16)=3.3613964757854
log 3(40.17)=3.3616231007651
log 3(40.18)=3.3618496693355
log 3(40.19)=3.3620761815244
log 3(40.2)=3.3623026373601
log 3(40.21)=3.3625290368704
log 3(40.22)=3.3627553800835
log 3(40.23)=3.3629816670272
log 3(40.24)=3.3632078977297
log 3(40.25)=3.3634340722188
log 3(40.26)=3.3636601905224
log 3(40.27)=3.3638862526685
log 3(40.28)=3.364112258685
log 3(40.29)=3.3643382085997
log 3(40.3)=3.3645641024404
log 3(40.31)=3.3647899402351
log 3(40.32)=3.3650157220114
log 3(40.33)=3.3652414477972
log 3(40.34)=3.3654671176203
log 3(40.35)=3.3656927315083
log 3(40.36)=3.365918289489
log 3(40.37)=3.3661437915902
log 3(40.38)=3.3663692378394
log 3(40.39)=3.3665946282644
log 3(40.4)=3.3668199628928
log 3(40.41)=3.3670452417521
log 3(40.42)=3.3672704648701
log 3(40.43)=3.3674956322742
log 3(40.44)=3.3677207439921
log 3(40.45)=3.3679458000513
log 3(40.46)=3.3681708004792
log 3(40.47)=3.3683957453035
log 3(40.48)=3.3686206345515
log 3(40.49)=3.3688454682507
log 3(40.5)=3.3690702464285
log 3(40.51)=3.3692949691125

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