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Log 289 (13)

Log 289 (13) is the logarithm of 13 to the base 289:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log289 (13) = 0.45265729155952.

Calculate Log Base 289 of 13

To solve the equation log 289 (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 = 289:
    log 289 (13) = log(13) / log(289)
  3. Evaluate the term:
    log(13) / log(289)
    = 1.39794000867204 / 1.92427928606188
    = 0.45265729155952
    = Logarithm of 13 with base 289
Here’s the logarithm of 289 to the base 13.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 289 0.45265729155952 = 13
  • 289 0.45265729155952 = 13 is the exponential form of log289 (13)
  • 289 is the logarithm base of log289 (13)
  • 13 is the argument of log289 (13)
  • 0.45265729155952 is the exponent or power of 289 0.45265729155952 = 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 log289 13?

Log289 (13) = 0.45265729155952.

How do you find the value of log 28913?

Carry out the change of base logarithm operation.

What does log 289 13 mean?

It means the logarithm of 13 with base 289.

How do you solve log base 289 13?

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

What is the log base 289 of 13?

The value is 0.45265729155952.

How do you write log 289 13 in exponential form?

In exponential form is 289 0.45265729155952 = 13.

What is log289 (13) equal to?

log base 289 of 13 = 0.45265729155952.
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 289 of 13 = 0.45265729155952.

You now know everything about the logarithm with base 289, argument 13 and exponent 0.45265729155952.
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 Log289 (13).

Table

Our quick conversion table is easy to use:
log 289(x) Value
log 289(12.5)=0.44573569611462
log 289(12.51)=0.44587682212129
log 289(12.52)=0.44601783536246
log 289(12.53)=0.44615873601819
log 289(12.54)=0.44629952426812
log 289(12.55)=0.44644020029146
log 289(12.56)=0.44658076426698
log 289(12.57)=0.44672121637302
log 289(12.58)=0.44686155678752
log 289(12.59)=0.44700178568797
log 289(12.6)=0.44714190325146
log 289(12.61)=0.44728190965462
log 289(12.62)=0.4474218050737
log 289(12.63)=0.44756158968452
log 289(12.64)=0.44770126366248
log 289(12.65)=0.44784082718255
log 289(12.66)=0.4479802804193
log 289(12.67)=0.4481196235469
log 289(12.68)=0.44825885673908
log 289(12.69)=0.44839798016917
log 289(12.7)=0.4485369940101
log 289(12.71)=0.44867589843437
log 289(12.72)=0.44881469361411
log 289(12.73)=0.44895337972099
log 289(12.74)=0.44909195692633
log 289(12.75)=0.44923042540102
log 289(12.76)=0.44936878531554
log 289(12.77)=0.44950703683999
log 289(12.78)=0.44964518014405
log 289(12.79)=0.44978321539703
log 289(12.8)=0.44992114276781
log 289(12.81)=0.4500589624249
log 289(12.82)=0.4501966745364
log 289(12.83)=0.45033427927002
log 289(12.84)=0.45047177679309
log 289(12.85)=0.45060916727254
log 289(12.86)=0.4507464508749
log 289(12.87)=0.45088362776632
log 289(12.88)=0.45102069811258
log 289(12.89)=0.45115766207904
log 289(12.9)=0.45129451983071
log 289(12.91)=0.45143127153219
log 289(12.92)=0.45156791734772
log 289(12.93)=0.45170445744113
log 289(12.94)=0.4518408919759
log 289(12.95)=0.45197722111511
log 289(12.96)=0.45211344502147
log 289(12.97)=0.45224956385732
log 289(12.98)=0.45238557778462
log 289(12.99)=0.45252148696495
log 289(13)=0.45265729155952
log 289(13.01)=0.45279299172917
log 289(13.02)=0.45292858763436
log 289(13.03)=0.45306407943521
log 289(13.04)=0.45319946729143
log 289(13.05)=0.4533347513624
log 289(13.06)=0.4534699318071
log 289(13.07)=0.45360500878418
log 289(13.08)=0.45373998245189
log 289(13.09)=0.45387485296815
log 289(13.1)=0.45400962049049
log 289(13.11)=0.4541442851761
log 289(13.12)=0.45427884718181
log 289(13.13)=0.45441330666407
log 289(13.14)=0.454547663779
log 289(13.15)=0.45468191868234
log 289(13.16)=0.45481607152949
log 289(13.17)=0.4549501224755
log 289(13.18)=0.45508407167505
log 289(13.19)=0.45521791928247
log 289(13.2)=0.45535166545176
log 289(13.21)=0.45548531033656
log 289(13.22)=0.45561885409013
log 289(13.23)=0.45575229686544
log 289(13.24)=0.45588563881506
log 289(13.25)=0.45601888009125
log 289(13.26)=0.45615202084592
log 289(13.27)=0.4562850612306
log 289(13.28)=0.45641800139654
log 289(13.29)=0.45655084149459
log 289(13.3)=0.4566835816753
log 289(13.31)=0.45681622208886
log 289(13.32)=0.45694876288513
log 289(13.33)=0.45708120421362
log 289(13.34)=0.45721354622352
log 289(13.35)=0.45734578906368
log 289(13.36)=0.4574779328826
log 289(13.37)=0.45760997782848
log 289(13.38)=0.45774192404916
log 289(13.39)=0.45787377169215
log 289(13.4)=0.45800552090464
log 289(13.41)=0.45813717183348
log 289(13.42)=0.45826872462521
log 289(13.43)=0.45840017942602
log 289(13.44)=0.4585315363818
log 289(13.45)=0.45866279563807
log 289(13.46)=0.45879395734009
log 289(13.47)=0.45892502163273
log 289(13.48)=0.45905598866058
log 289(13.49)=0.4591868585679
log 289(13.5)=0.45931763149862
log 289(13.51)=0.45944830759636

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