Home » Logarithms of 5 » Log5 (4)

Log 5 (4)

Log 5 (4) is the logarithm of 4 to the base 5:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (4) = 0.86135311614679.

Calculate Log Base 5 of 4

To solve the equation log 5 (4) = 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 = 4, a = 5:
    log 5 (4) = log(4) / log(5)
  3. Evaluate the term:
    log(4) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 0.86135311614679
    = Logarithm of 4 with base 5
Here’s the logarithm of 5 to the base 4.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 0.86135311614679 = 4
  • 5 0.86135311614679 = 4 is the exponential form of log5 (4)
  • 5 is the logarithm base of log5 (4)
  • 4 is the argument of log5 (4)
  • 0.86135311614679 is the exponent or power of 5 0.86135311614679 = 4
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 4?

Log5 (4) = 0.86135311614679.

How do you find the value of log 54?

Carry out the change of base logarithm operation.

What does log 5 4 mean?

It means the logarithm of 4 with base 5.

How do you solve log base 5 4?

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

What is the log base 5 of 4?

The value is 0.86135311614679.

How do you write log 5 4 in exponential form?

In exponential form is 5 0.86135311614679 = 4.

What is log5 (4) equal to?

log base 5 of 4 = 0.86135311614679.
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 4 = 0.86135311614679.

You now know everything about the logarithm with base 5, argument 4 and exponent 0.86135311614679.
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 (4).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(3.5)=0.77838539704877
log 5(3.51)=0.78015810847825
log 5(3.52)=0.78192577662516
log 5(3.53)=0.78368843010392
log 5(3.54)=0.78544609728612
log 5(3.55)=0.78719880630325
log 5(3.56)=0.78894658504941
log 5(3.57)=0.79068946118395
log 5(3.58)=0.79242746213413
log 5(3.59)=0.79416061509768
log 5(3.6)=0.79588894704536
log 5(3.61)=0.79761248472351
log 5(3.62)=0.79933125465649
log 5(3.63)=0.80104528314915
log 5(3.64)=0.80275459628925
log 5(3.65)=0.80445921994982
log 5(3.66)=0.80615917979153
log 5(3.67)=0.80785450126503
log 5(3.68)=0.80954520961317
log 5(3.69)=0.81123132987331
log 5(3.7)=0.81291288687954
log 5(3.71)=0.81458990526484
log 5(3.72)=0.81626240946331
log 5(3.73)=0.81793042371221
log 5(3.74)=0.81959397205417
log 5(3.75)=0.8212530783392
log 5(3.76)=0.82290776622676
log 5(3.77)=0.82455805918779
log 5(3.78)=0.82620398050673
log 5(3.79)=0.82784555328343
log 5(3.8)=0.82948280043515
log 5(3.81)=0.83111574469846
log 5(3.82)=0.83274440863115
log 5(3.83)=0.83436881461405
log 5(3.84)=0.83598898485295
log 5(3.85)=0.83760494138036
log 5(3.86)=0.83921670605733
log 5(3.87)=0.84082430057525
log 5(3.88)=0.84242774645754
log 5(3.89)=0.84402706506143
log 5(3.9)=0.84562227757967
log 5(3.91)=0.84721340504218
log 5(3.92)=0.84880046831773
log 5(3.93)=0.85038348811558
log 5(3.94)=0.85196248498712
log 5(3.95)=0.85353747932745
log 5(3.96)=0.85510849137695
log 5(3.97)=0.85667554122287
log 5(3.98)=0.85823864880088
log 5(3.99)=0.85979783389652
log 5(4)=0.86135311614678
log 5(4.01)=0.86290451504158
log 5(4.02)=0.86445204992516
log 5(4.03)=0.86599573999762
log 5(4.04)=0.86753560431628
log 5(4.05)=0.86907166179715
log 5(4.06)=0.87060393121627
log 5(4.07)=0.87213243121112
log 5(4.08)=0.87365718028196
log 5(4.09)=0.87517819679321
log 5(4.1)=0.87669549897473
log 5(4.11)=0.87820910492315
log 5(4.12)=0.87971903260319
log 5(4.13)=0.88122529984891
log 5(4.14)=0.88272792436496
log 5(4.15)=0.88422692372787
log 5(4.16)=0.88572231538726
log 5(4.17)=0.88721411666707
log 5(4.18)=0.88870234476673
log 5(4.19)=0.89018701676242
log 5(4.2)=0.89166814960815
log 5(4.21)=0.89314576013702
log 5(4.22)=0.89461986506228
log 5(4.23)=0.89609048097855
log 5(4.24)=0.89755762436285
log 5(4.25)=0.8990213115758
log 5(4.26)=0.90048155886263
log 5(4.27)=0.90193838235432
log 5(4.28)=0.90339179806865
log 5(4.29)=0.90484182191126
log 5(4.3)=0.90628846967667
log 5(4.31)=0.90773175704936
log 5(4.32)=0.90917169960474
log 5(4.33)=0.9106083128102
log 5(4.34)=0.91204161202609
log 5(4.35)=0.9134716125067
log 5(4.36)=0.91489832940122
log 5(4.37)=0.91632177775474
log 5(4.38)=0.91774197250919
log 5(4.39)=0.91915892850427
log 5(4.4)=0.92057266047837
log 5(4.41)=0.92198318306952
log 5(4.42)=0.92339051081627
log 5(4.43)=0.92479465815863
log 5(4.44)=0.92619563943891
log 5(4.45)=0.92759346890262
log 5(4.46)=0.92898816069936
log 5(4.47)=0.93037972888363
log 5(4.48)=0.93176818741574
log 5(4.49)=0.9331535501626
log 5(4.5)=0.93453583089857
log 5(4.51)=0.93591504330631

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