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Log 5 (100)

Log 5 (100) is the logarithm of 100 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 (100) = 2.8613531161468.

Calculate Log Base 5 of 100

To solve the equation log 5 (100) = 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 = 100, a = 5:
    log 5 (100) = log(100) / log(5)
  3. Evaluate the term:
    log(100) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 2.8613531161468
    = Logarithm of 100 with base 5
Here’s the logarithm of 5 to the base 100.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 2.8613531161468 = 100
  • 5 2.8613531161468 = 100 is the exponential form of log5 (100)
  • 5 is the logarithm base of log5 (100)
  • 100 is the argument of log5 (100)
  • 2.8613531161468 is the exponent or power of 5 2.8613531161468 = 100
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 100?

Log5 (100) = 2.8613531161468.

How do you find the value of log 5100?

Carry out the change of base logarithm operation.

What does log 5 100 mean?

It means the logarithm of 100 with base 5.

How do you solve log base 5 100?

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

What is the log base 5 of 100?

The value is 2.8613531161468.

How do you write log 5 100 in exponential form?

In exponential form is 5 2.8613531161468 = 100.

What is log5 (100) equal to?

log base 5 of 100 = 2.8613531161468.
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 100 = 2.8613531161468.

You now know everything about the logarithm with base 5, argument 100 and exponent 2.8613531161468.
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 (100).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(99.5)=2.8582386488009
log 5(99.51)=2.8583010913852
log 5(99.52)=2.8583635276948
log 5(99.53)=2.858425957731
log 5(99.54)=2.858488381495
log 5(99.55)=2.8585507989881
log 5(99.56)=2.8586132102115
log 5(99.57)=2.8586756151666
log 5(99.58)=2.8587380138545
log 5(99.59)=2.8588004062766
log 5(99.6)=2.858862792434
log 5(99.61)=2.8589251723281
log 5(99.62)=2.8589875459601
log 5(99.63)=2.8590499133313
log 5(99.64)=2.8591122744428
log 5(99.65)=2.8591746292961
log 5(99.66)=2.8592369778922
log 5(99.67)=2.8592993202326
log 5(99.68)=2.8593616563184
log 5(99.69)=2.8594239861508
log 5(99.7)=2.8594863097313
log 5(99.71)=2.8595486270609
log 5(99.72)=2.859610938141
log 5(99.73)=2.8596732429728
log 5(99.74)=2.8597355415575
log 5(99.75)=2.8597978338965
log 5(99.76)=2.859860119991
log 5(99.77)=2.8599223998421
log 5(99.78)=2.8599846734512
log 5(99.79)=2.8600469408196
log 5(99.8)=2.8601092019484
log 5(99.81)=2.860171456839
log 5(99.82)=2.8602337054925
log 5(99.83)=2.8602959479102
log 5(99.84)=2.8603581840934
log 5(99.85)=2.8604204140434
log 5(99.86)=2.8604826377613
log 5(99.87)=2.8605448552484
log 5(99.88)=2.860607066506
log 5(99.89)=2.8606692715352
log 5(99.9)=2.8607314703375
log 5(99.91)=2.8607936629139
log 5(99.92)=2.8608558492659
log 5(99.93)=2.8609180293945
log 5(99.94)=2.860980203301
log 5(99.95)=2.8610423709867
log 5(99.96)=2.8611045324529
log 5(99.97)=2.8611666877008
log 5(99.98)=2.8612288367315
log 5(99.99)=2.8612909795465
log 5(100)=2.8613531161468
log 5(100.01)=2.8614152465338
log 5(100.02)=2.8614773707087
log 5(100.03)=2.8615394886727
log 5(100.04)=2.8616016004271
log 5(100.05)=2.8616637059731
log 5(100.06)=2.861725805312
log 5(100.07)=2.8617878984449
log 5(100.08)=2.8618499853732
log 5(100.09)=2.8619120660981
log 5(100.1)=2.8619741406208
log 5(100.11)=2.8620362089426
log 5(100.12)=2.8620982710647
log 5(100.13)=2.8621603269883
log 5(100.14)=2.8622223767147
log 5(100.15)=2.862284420245
log 5(100.16)=2.8623464575807
log 5(100.17)=2.8624084887228
log 5(100.18)=2.8624705136726
log 5(100.19)=2.8625325324315
log 5(100.2)=2.8625945450005
log 5(100.21)=2.8626565513809
log 5(100.22)=2.862718551574
log 5(100.23)=2.862780545581
log 5(100.24)=2.8628425334031
log 5(100.25)=2.8629045150416
log 5(100.26)=2.8629664904977
log 5(100.27)=2.8630284597726
log 5(100.28)=2.8630904228676
log 5(100.29)=2.8631523797839
log 5(100.3)=2.8632143305227
log 5(100.31)=2.8632762750853
log 5(100.32)=2.8633382134729
log 5(100.33)=2.8634001456867
log 5(100.34)=2.863462071728
log 5(100.35)=2.8635239915979
log 5(100.36)=2.8635859052978
log 5(100.37)=2.8636478128288
log 5(100.38)=2.8637097141922
log 5(100.39)=2.8637716093892
log 5(100.4)=2.8638334984211
log 5(100.41)=2.863895381289
log 5(100.42)=2.8639572579941
log 5(100.43)=2.8640191285378
log 5(100.44)=2.8640809929213
log 5(100.45)=2.8641428511457
log 5(100.46)=2.8642047032123
log 5(100.47)=2.8642665491223
log 5(100.48)=2.864328388877
log 5(100.49)=2.8643902224775
log 5(100.5)=2.8644520499252

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