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Log 5 (12)

Log 5 (12) is the logarithm of 12 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (12) = 1.5439593106328.

Calculate Log Base 5 of 12

To solve the equation log 5 (12) = 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 = 12, a = 5:
    log 5 (12) = log(12) / log(5)
  3. Evaluate the term:
    log(12) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.5439593106328
    = Logarithm of 12 with base 5
Here’s the logarithm of 5 to the base 12.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.5439593106328 = 12
  • 5 1.5439593106328 = 12 is the exponential form of log5 (12)
  • 5 is the logarithm base of log5 (12)
  • 12 is the argument of log5 (12)
  • 1.5439593106328 is the exponent or power of 5 1.5439593106328 = 12
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log5 12?

Log5 (12) = 1.5439593106328.

How do you find the value of log 512?

Carry out the change of base logarithm operation.

What does log 5 12 mean?

It means the logarithm of 12 with base 5.

How do you solve log base 5 12?

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

What is the log base 5 of 12?

The value is 1.5439593106328.

How do you write log 5 12 in exponential form?

In exponential form is 5 1.5439593106328 = 12.

What is log5 (12) equal to?

log base 5 of 12 = 1.5439593106328.
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 5 of 12 = 1.5439593106328.

You now know everything about the logarithm with base 5, argument 12 and exponent 1.5439593106328.
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 Log5 (12).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(11.5)=1.517515535393
log 5(11.51)=1.5180555918673
log 5(11.52)=1.5185951793389
log 5(11.53)=1.5191342986218
log 5(11.54)=1.5196729505278
log 5(11.55)=1.5202111358663
log 5(11.56)=1.5207488554452
log 5(11.57)=1.5212861100697
log 5(11.58)=1.5218229005433
log 5(11.59)=1.5223592276673
log 5(11.6)=1.5228950922409
log 5(11.61)=1.5234304950612
log 5(11.62)=1.5239654369234
log 5(11.63)=1.5244999186205
log 5(11.64)=1.5250339409435
log 5(11.65)=1.5255675046814
log 5(11.66)=1.526100610621
log 5(11.67)=1.5266332595474
log 5(11.68)=1.5271654522434
log 5(11.69)=1.5276971894898
log 5(11.7)=1.5282284720657
log 5(11.71)=1.5287593007477
log 5(11.72)=1.5292896763109
log 5(11.73)=1.5298195995282
log 5(11.74)=1.5303490711704
log 5(11.75)=1.5308780920066
log 5(11.76)=1.5314066628037
log 5(11.77)=1.5319347843268
log 5(11.78)=1.5324624573391
log 5(11.79)=1.5329896826016
log 5(11.8)=1.5335164608735
log 5(11.81)=1.5340427929123
log 5(11.82)=1.5345686794731
log 5(11.83)=1.5350941213095
log 5(11.84)=1.5356191191731
log 5(11.85)=1.5361436738134
log 5(11.86)=1.5366677859783
log 5(11.87)=1.5371914564134
log 5(11.88)=1.5377146858629
log 5(11.89)=1.5382374750688
log 5(11.9)=1.5387598247714
log 5(11.91)=1.5392817357089
log 5(11.92)=1.5398032086178
log 5(11.93)=1.5403242442329
log 5(11.94)=1.5408448432869
log 5(11.95)=1.5413650065107
log 5(11.96)=1.5418847346335
log 5(11.97)=1.5424040283825
log 5(11.98)=1.5429228884833
log 5(11.99)=1.5434413156594
log 5(12)=1.5439593106328
log 5(12.01)=1.5444768741234
log 5(12.02)=1.5449940068495
log 5(12.03)=1.5455107095276
log 5(12.04)=1.5460269828722
log 5(12.05)=1.5465428275964
log 5(12.06)=1.5470582444111
log 5(12.07)=1.5475732340258
log 5(12.08)=1.5480877971481
log 5(12.09)=1.5486019344836
log 5(12.1)=1.5491156467366
log 5(12.11)=1.5496289346093
log 5(12.12)=1.5501417988023
log 5(12.13)=1.5506542400145
log 5(12.14)=1.5511662589429
log 5(12.15)=1.5516778562831
log 5(12.16)=1.5521890327287
log 5(12.17)=1.5526997889717
log 5(12.18)=1.5532101257023
log 5(12.19)=1.5537200436091
log 5(12.2)=1.5542295433789
log 5(12.21)=1.5547386256971
log 5(12.22)=1.5552472912471
log 5(12.23)=1.5557555407106
log 5(12.24)=1.556263374768
log 5(12.25)=1.5567707940975
log 5(12.26)=1.5572777993762
log 5(12.27)=1.5577843912792
log 5(12.28)=1.55829057048
log 5(12.29)=1.5587963376504
log 5(12.3)=1.5593016934607
log 5(12.31)=1.5598066385796
log 5(12.32)=1.5603111736739
log 5(12.33)=1.5608152994091
log 5(12.34)=1.5613190164489
log 5(12.35)=1.5618223254554
log 5(12.36)=1.5623252270892
log 5(12.37)=1.5628277220091
log 5(12.38)=1.5633298108724
log 5(12.39)=1.5638314943349
log 5(12.4)=1.5643327730507
log 5(12.41)=1.5648336476724
log 5(12.42)=1.5653341188509
log 5(12.43)=1.5658341872357
log 5(12.44)=1.5663338534746
log 5(12.45)=1.5668331182139
log 5(12.46)=1.5673319820982
log 5(12.47)=1.5678304457708
log 5(12.48)=1.5683285098732
log 5(12.49)=1.5688261750457
log 5(12.5)=1.5693234419266
log 5(12.51)=1.5698203111531

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