Home » Logarithms of 13 » Log13 (3)

Log 13 (3)

Log 13 (3) is the logarithm of 3 to the base 13:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log13 (3) = 0.42831734103139.

Calculate Log Base 13 of 3

To solve the equation log 13 (3) = 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 = 3, a = 13:
    log 13 (3) = log(3) / log(13)
  3. Evaluate the term:
    log(3) / log(13)
    = 1.39794000867204 / 1.92427928606188
    = 0.42831734103139
    = Logarithm of 3 with base 13
Here’s the logarithm of 13 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 13 0.42831734103139 = 3
  • 13 0.42831734103139 = 3 is the exponential form of log13 (3)
  • 13 is the logarithm base of log13 (3)
  • 3 is the argument of log13 (3)
  • 0.42831734103139 is the exponent or power of 13 0.42831734103139 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log13 3?

Log13 (3) = 0.42831734103139.

How do you find the value of log 133?

Carry out the change of base logarithm operation.

What does log 13 3 mean?

It means the logarithm of 3 with base 13.

How do you solve log base 13 3?

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

What is the log base 13 of 3?

The value is 0.42831734103139.

How do you write log 13 3 in exponential form?

In exponential form is 13 0.42831734103139 = 3.

What is log13 (3) equal to?

log base 13 of 3 = 0.42831734103139.
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 13 of 3 = 0.42831734103139.

You now know everything about the logarithm with base 13, argument 3 and exponent 0.42831734103139.
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 Log13 (3).

Table

Our quick conversion table is easy to use:
log 13(x) Value
log 13(2.5)=0.35723540864798
log 13(2.51)=0.35879178295141
log 13(2.52)=0.36034196887148
log 13(2.53)=0.3618860154253
log 13(2.54)=0.36342397104985
log 13(2.55)=0.36495588361119
log 13(2.56)=0.36648180041331
log 13(2.57)=0.36800176820695
log 13(2.58)=0.36951583319818
log 13(2.59)=0.37102404105681
log 13(2.6)=0.3725264369247
log 13(2.61)=0.37402306542381
log 13(2.62)=0.37551397066421
log 13(2.63)=0.37699919625184
log 13(2.64)=0.37847878529617
log 13(2.65)=0.37995278041771
log 13(2.66)=0.3814212237554
log 13(2.67)=0.3828841569738
log 13(2.68)=0.38434162127022
log 13(2.69)=0.38579365738163
log 13(2.7)=0.38724030559156
log 13(2.71)=0.38868160573675
log 13(2.72)=0.39011759721377
log 13(2.73)=0.39154831898545
log 13(2.74)=0.39297380958723
log 13(2.75)=0.39439410713342
log 13(2.76)=0.39580924932327
log 13(2.77)=0.39721927344701
log 13(2.78)=0.39862421639172
log 13(2.79)=0.40002411464713
log 13(2.8)=0.40141900431131
log 13(2.81)=0.40280892109627
log 13(2.82)=0.4041939003334
log 13(2.83)=0.4055739769789
log 13(2.84)=0.40694918561906
log 13(2.85)=0.40831956047548
log 13(2.86)=0.40968513541013
log 13(2.87)=0.41104594393043
log 13(2.88)=0.41240201919414
log 13(2.89)=0.41375339401423
log 13(2.9)=0.41510010086365
log 13(2.91)=0.41644217187996
log 13(2.92)=0.41777963887003
log 13(2.93)=0.41911253331445
log 13(2.94)=0.42044088637206
log 13(2.95)=0.4217647288843
log 13(2.96)=0.42308409137947
log 13(2.97)=0.424399004077
log 13(2.98)=0.42570949689157
log 13(2.99)=0.42701559943724
log 13(3)=0.42831734103139
log 13(3.01)=0.42961475069876
log 13(3.02)=0.43090785717525
log 13(3.03)=0.43219668891178
log 13(3.04)=0.43348127407806
log 13(3.05)=0.43476164056625
log 13(3.06)=0.4360378159946
log 13(3.07)=0.43730982771106
log 13(3.08)=0.43857770279675
log 13(3.09)=0.43984146806944
log 13(3.1)=0.44110115008696
log 13(3.11)=0.44235677515054
log 13(3.12)=0.44360836930811
log 13(3.13)=0.44485595835752
log 13(3.14)=0.44609956784978
log 13(3.15)=0.44733922309214
log 13(3.16)=0.44857494915124
log 13(3.17)=0.44980677085609
log 13(3.18)=0.45103471280112
log 13(3.19)=0.45225879934908
log 13(3.2)=0.45347905463397
log 13(3.21)=0.4546955025639
log 13(3.22)=0.45590816682385
log 13(3.23)=0.45711707087852
log 13(3.24)=0.45832223797497
log 13(3.25)=0.45952369114536
log 13(3.26)=0.46072145320956
log 13(3.27)=0.46191554677778
log 13(3.28)=0.46310599425309
log 13(3.29)=0.46429281783398
log 13(3.3)=0.46547603951683
log 13(3.31)=0.46665568109834
log 13(3.32)=0.46783176417797
log 13(3.33)=0.4690043101603
log 13(3.34)=0.47017334025734
log 13(3.35)=0.47133887549088
log 13(3.36)=0.47250093669472
log 13(3.37)=0.47365954451695
log 13(3.38)=0.47481471942207
log 13(3.39)=0.47596648169326
log 13(3.4)=0.47711485143443
log 13(3.41)=0.4782598485724
log 13(3.42)=0.47940149285889
log 13(3.43)=0.48053980387265
log 13(3.44)=0.48167480102142
log 13(3.45)=0.48280650354393
log 13(3.46)=0.48393493051187
log 13(3.47)=0.4850601008318
log 13(3.48)=0.48618203324705
log 13(3.49)=0.48730074633962
log 13(3.5)=0.48841625853198
log 13(3.51)=0.48952858808894

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top