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Log 5 (21)

Log 5 (21) is the logarithm of 21 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 (21) = 1.8916681496082.

Calculate Log Base 5 of 21

To solve the equation log 5 (21) = 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 = 21, a = 5:
    log 5 (21) = log(21) / log(5)
  3. Evaluate the term:
    log(21) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.8916681496082
    = Logarithm of 21 with base 5
Here’s the logarithm of 5 to the base 21.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.8916681496082 = 21
  • 5 1.8916681496082 = 21 is the exponential form of log5 (21)
  • 5 is the logarithm base of log5 (21)
  • 21 is the argument of log5 (21)
  • 1.8916681496082 is the exponent or power of 5 1.8916681496082 = 21
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 21?

Log5 (21) = 1.8916681496082.

How do you find the value of log 521?

Carry out the change of base logarithm operation.

What does log 5 21 mean?

It means the logarithm of 21 with base 5.

How do you solve log base 5 21?

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

What is the log base 5 of 21?

The value is 1.8916681496082.

How do you write log 5 21 in exponential form?

In exponential form is 5 1.8916681496082 = 21.

What is log5 (21) equal to?

log base 5 of 21 = 1.8916681496082.

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 21 = 1.8916681496082.

You now know everything about the logarithm with base 5, argument 21 and exponent 1.8916681496082.
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 (21).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(20.5)=1.8766954989747
log 5(20.51)=1.8769985152863
log 5(20.52)=1.8773013838931
log 5(20.53)=1.8776041049391
log 5(20.54)=1.8779066785679
log 5(20.55)=1.8782091049232
log 5(20.56)=1.8785113841481
log 5(20.57)=1.8788135163858
log 5(20.58)=1.8791155017791
log 5(20.59)=1.8794173404708
log 5(20.6)=1.8797190326032
log 5(20.61)=1.8800205783187
log 5(20.62)=1.8803219777593
log 5(20.63)=1.8806232310668
log 5(20.64)=1.8809243383828
log 5(20.65)=1.8812252998489
log 5(20.66)=1.8815261156062
log 5(20.67)=1.8818267857957
log 5(20.68)=1.8821273105583
log 5(20.69)=1.8824276900346
log 5(20.7)=1.882727924365
log 5(20.71)=1.8830280136896
log 5(20.72)=1.8833279581485
log 5(20.73)=1.8836277578815
log 5(20.74)=1.8839274130281
log 5(20.75)=1.8842269237279
log 5(20.76)=1.8845262901199
log 5(20.77)=1.8848255123431
log 5(20.78)=1.8851245905364
log 5(20.79)=1.8854235248383
log 5(20.8)=1.8857223153873
log 5(20.81)=1.8860209623214
log 5(20.82)=1.8863194657788
log 5(20.83)=1.8866178258972
log 5(20.84)=1.8869160428141
log 5(20.85)=1.8872141166671
log 5(20.86)=1.8875120475932
log 5(20.87)=1.8878098357295
log 5(20.88)=1.8881074812129
log 5(20.89)=1.8884049841798
log 5(20.9)=1.8887023447667
log 5(20.91)=1.8889995631099
log 5(20.92)=1.8892966393453
log 5(20.93)=1.8895935736088
log 5(20.94)=1.8898903660361
log 5(20.95)=1.8901870167624
log 5(20.96)=1.8904835259232
log 5(20.97)=1.8907798936534
log 5(20.98)=1.8910761200878
log 5(20.99)=1.8913722053613
log 5(21)=1.8916681496082
log 5(21.01)=1.8919639529627
log 5(21.02)=1.8922596155591
log 5(21.03)=1.8925551375312
log 5(21.04)=1.8928505190126
log 5(21.05)=1.893145760137
log 5(21.06)=1.8934408610376
log 5(21.07)=1.8937358218476
log 5(21.08)=1.8940306426999
log 5(21.09)=1.8943253237273
log 5(21.1)=1.8946198650623
log 5(21.11)=1.8949142668373
log 5(21.12)=1.8952085291845
log 5(21.13)=1.895502652236
log 5(21.14)=1.8957966361234
log 5(21.15)=1.8960904809786
log 5(21.16)=1.8963841869328
log 5(21.17)=1.8966777541173
log 5(21.18)=1.8969711826633
log 5(21.19)=1.8972644727016
log 5(21.2)=1.8975576243629
log 5(21.21)=1.8978506377777
log 5(21.22)=1.8981435130763
log 5(21.23)=1.8984362503889
log 5(21.24)=1.8987288498455
log 5(21.25)=1.8990213115758
log 5(21.26)=1.8993136357094
log 5(21.27)=1.8996058223758
log 5(21.28)=1.8998978717041
log 5(21.29)=1.9001897838234
log 5(21.3)=1.9004815588626
log 5(21.31)=1.9007731969504
log 5(21.32)=1.9010646982152
log 5(21.33)=1.9013560627854
log 5(21.34)=1.9016472907891
log 5(21.35)=1.9019383823543
log 5(21.36)=1.9022293376088
log 5(21.37)=1.9025201566801
log 5(21.38)=1.9028108396958
log 5(21.39)=1.9031013867829
log 5(21.4)=1.9033917980687
log 5(21.41)=1.9036820736799
log 5(21.42)=1.9039722137433
log 5(21.43)=1.9042622183855
log 5(21.44)=1.9045520877328
log 5(21.45)=1.9048418219113
log 5(21.46)=1.905131421047
log 5(21.47)=1.9054208852659
log 5(21.48)=1.9057102146935
log 5(21.49)=1.9059994094553
log 5(21.5)=1.9062884696767

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