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Log 3 (13)

Log 3 (13) is the logarithm of 13 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 (13) = 2.3347175194728.

Calculate Log Base 3 of 13

To solve the equation log 3 (13) = 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 = 13, a = 3:
    log 3 (13) = log(13) / log(3)
  3. Evaluate the term:
    log(13) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 2.3347175194728
    = Logarithm of 13 with base 3
Here’s the logarithm of 3 to the base 13.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 2.3347175194728 = 13
  • 3 2.3347175194728 = 13 is the exponential form of log3 (13)
  • 3 is the logarithm base of log3 (13)
  • 13 is the argument of log3 (13)
  • 2.3347175194728 is the exponent or power of 3 2.3347175194728 = 13
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 13?

Log3 (13) = 2.3347175194728.

How do you find the value of log 313?

Carry out the change of base logarithm operation.

What does log 3 13 mean?

It means the logarithm of 13 with base 3.

How do you solve log base 3 13?

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

What is the log base 3 of 13?

The value is 2.3347175194728.

How do you write log 3 13 in exponential form?

In exponential form is 3 2.3347175194728 = 13.

What is log3 (13) equal to?

log base 3 of 13 = 2.3347175194728.
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 13 = 2.3347175194728.

You now know everything about the logarithm with base 3, argument 13 and exponent 2.3347175194728.
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 (13).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(12.5)=2.2990172878644
log 3(12.51)=2.2997451881244
log 3(12.52)=2.3004725067621
log 3(12.53)=2.3011992447062
log 3(12.54)=2.3019254028832
log 3(12.55)=2.3026509822175
log 3(12.56)=2.303375983631
log 3(12.57)=2.3041004080438
log 3(12.58)=2.3048242563735
log 3(12.59)=2.3055475295356
log 3(12.6)=2.3062702284435
log 3(12.61)=2.3069923540082
log 3(12.62)=2.3077139071389
log 3(12.63)=2.3084348887422
log 3(12.64)=2.3091552997229
log 3(12.65)=2.3098751409836
log 3(12.66)=2.3105944134245
log 3(12.67)=2.311313117944
log 3(12.68)=2.3120312554381
log 3(12.69)=2.312748826801
log 3(12.7)=2.3134658329244
log 3(12.71)=2.3141822746982
log 3(12.72)=2.3148981530101
log 3(12.73)=2.3156134687456
log 3(12.74)=2.3163282227883
log 3(12.75)=2.3170424160197
log 3(12.76)=2.3177560493189
log 3(12.77)=2.3184691235635
log 3(12.78)=2.3191816396286
log 3(12.79)=2.3198935983873
log 3(12.8)=2.3206050007108
log 3(12.81)=2.3213158474682
log 3(12.82)=2.3220261395266
log 3(12.83)=2.322735877751
log 3(12.84)=2.3234450630043
log 3(12.85)=2.3241536961477
log 3(12.86)=2.3248617780399
log 3(12.87)=2.3255693095382
log 3(12.88)=2.3262762914973
log 3(12.89)=2.3269827247703
log 3(12.9)=2.3276886102083
log 3(12.91)=2.3283939486602
log 3(12.92)=2.3290987409731
log 3(12.93)=2.3298029879921
log 3(12.94)=2.3305066905603
log 3(12.95)=2.3312098495189
log 3(12.96)=2.3319124657071
log 3(12.97)=2.3326145399622
log 3(12.98)=2.3333160731195
log 3(12.99)=2.3340170660126
log 3(13)=2.3347175194728
log 3(13.01)=2.3354174343298
log 3(13.02)=2.3361168114111
log 3(13.03)=2.3368156515427
log 3(13.04)=2.3375139555482
log 3(13.05)=2.3382117242498
log 3(13.06)=2.3389089584675
log 3(13.07)=2.3396056590194
log 3(13.08)=2.3403018267219
log 3(13.09)=2.3409974623894
log 3(13.1)=2.3416925668345
log 3(13.11)=2.3423871408679
log 3(13.12)=2.3430811852985
log 3(13.13)=2.3437747009333
log 3(13.14)=2.3444676885774
log 3(13.15)=2.3451601490343
log 3(13.16)=2.3458520831053
log 3(13.17)=2.3465434915902
log 3(13.18)=2.3472343752869
log 3(13.19)=2.3479247349913
log 3(13.2)=2.3486145714977
log 3(13.21)=2.3493038855985
log 3(13.22)=2.3499926780843
log 3(13.23)=2.3506809497441
log 3(13.24)=2.3513687013647
log 3(13.25)=2.3520559337316
log 3(13.26)=2.352742647628
log 3(13.27)=2.3534288438359
log 3(13.28)=2.3541145231351
log 3(13.29)=2.3547996863038
log 3(13.3)=2.3554843341184
log 3(13.31)=2.3561684673536
log 3(13.32)=2.3568520867824
log 3(13.33)=2.3575351931759
log 3(13.34)=2.3582177873036
log 3(13.35)=2.3588998699332
log 3(13.36)=2.3595814418308
log 3(13.37)=2.3602625037605
log 3(13.38)=2.360943056485
log 3(13.39)=2.3616231007652
log 3(13.4)=2.3623026373601
log 3(13.41)=2.3629816670272
log 3(13.42)=2.3636601905224
log 3(13.43)=2.3643382085997
log 3(13.44)=2.3650157220114
log 3(13.45)=2.3656927315083
log 3(13.46)=2.3663692378394
log 3(13.47)=2.3670452417521
log 3(13.48)=2.3677207439921
log 3(13.49)=2.3683957453035
log 3(13.5)=2.3690702464285
log 3(13.51)=2.3697442481081

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