Home » Logarithms of 400 » Log400 (5)

Log 400 (5)

Log 400 (5) is the logarithm of 5 to the base 400:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log400 (5) = 0.26862178684024.

Calculate Log Base 400 of 5

To solve the equation log 400 (5) = 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 = 5, a = 400:
    log 400 (5) = log(5) / log(400)
  3. Evaluate the term:
    log(5) / log(400)
    = 1.39794000867204 / 1.92427928606188
    = 0.26862178684024
    = Logarithm of 5 with base 400
Here’s the logarithm of 400 to the base 5.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 400 0.26862178684024 = 5
  • 400 0.26862178684024 = 5 is the exponential form of log400 (5)
  • 400 is the logarithm base of log400 (5)
  • 5 is the argument of log400 (5)
  • 0.26862178684024 is the exponent or power of 400 0.26862178684024 = 5
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log400 5?

Log400 (5) = 0.26862178684024.

How do you find the value of log 4005?

Carry out the change of base logarithm operation.

What does log 400 5 mean?

It means the logarithm of 5 with base 400.

How do you solve log base 400 5?

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

What is the log base 400 of 5?

The value is 0.26862178684024.

How do you write log 400 5 in exponential form?

In exponential form is 400 0.26862178684024 = 5.

What is log400 (5) equal to?

log base 400 of 5 = 0.26862178684024.
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 400 of 5 = 0.26862178684024.

You now know everything about the logarithm with base 400, argument 5 and exponent 0.26862178684024.
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 Log400 (5).

Table

Our quick conversion table is easy to use:
log 400(x) Value
log 400(4.5)=0.25103668476221
log 400(4.51)=0.2514071712636
log 400(4.52)=0.25177683719622
log 400(4.53)=0.25214568618689
log 400(4.54)=0.25251372183843
log 400(4.55)=0.25288094772992
log 400(4.56)=0.25324736741682
log 400(4.57)=0.25361298443126
log 400(4.58)=0.25397780228218
log 400(4.59)=0.25434182445559
log 400(4.6)=0.25470505441473
log 400(4.61)=0.25506749560026
log 400(4.62)=0.25542915143049
log 400(4.63)=0.25579002530156
log 400(4.64)=0.25615012058762
log 400(4.65)=0.25650944064104
log 400(4.66)=0.25686798879256
log 400(4.67)=0.25722576835153
log 400(4.68)=0.25758278260605
log 400(4.69)=0.25793903482316
log 400(4.7)=0.25829452824902
log 400(4.71)=0.25864926610913
log 400(4.72)=0.25900325160841
log 400(4.73)=0.25935648793147
log 400(4.74)=0.25970897824273
log 400(4.75)=0.26006072568662
log 400(4.76)=0.2604117333877
log 400(4.77)=0.26076200445088
log 400(4.78)=0.26111154196156
log 400(4.79)=0.26146034898579
log 400(4.8)=0.26180842857044
log 400(4.81)=0.26215578374336
log 400(4.82)=0.26250241751354
log 400(4.83)=0.26284833287124
log 400(4.84)=0.26319353278819
log 400(4.85)=0.2635380202177
log 400(4.86)=0.26388179809485
log 400(4.87)=0.2642248693366
log 400(4.88)=0.26456723684198
log 400(4.89)=0.2649089034922
log 400(4.9)=0.26524987215082
log 400(4.91)=0.26559014566389
log 400(4.92)=0.26592972686007
log 400(4.93)=0.26626861855081
log 400(4.94)=0.26660682353046
log 400(4.95)=0.26694434457642
log 400(4.96)=0.26728118444927
log 400(4.97)=0.26761734589292
log 400(4.98)=0.26795283163471
log 400(4.99)=0.2682876443856
log 400(5)=0.26862178684024
log 400(5.01)=0.26895526167715
log 400(5.02)=0.2692880715588
log 400(5.03)=0.2696202191318
log 400(5.04)=0.26995170702695
log 400(5.05)=0.27028253785945
log 400(5.06)=0.27061271422894
log 400(5.07)=0.27094223871969
log 400(5.08)=0.27127111390068
log 400(5.09)=0.27159934232573
log 400(5.1)=0.27192692653363
log 400(5.11)=0.27225386904826
log 400(5.12)=0.27258017237868
log 400(5.13)=0.27290583901926
log 400(5.14)=0.27323087144983
log 400(5.15)=0.27355527213572
log 400(5.16)=0.27387904352794
log 400(5.17)=0.27420218806324
log 400(5.18)=0.27452470816427
log 400(5.19)=0.27484660623965
log 400(5.2)=0.27516788468408
log 400(5.21)=0.27548854587848
log 400(5.22)=0.27580859219007
log 400(5.23)=0.27612802597245
log 400(5.24)=0.27644684956576
log 400(5.25)=0.27676506529675
log 400(5.26)=0.27708267547889
log 400(5.27)=0.27739968241246
log 400(5.28)=0.27771608838465
log 400(5.29)=0.2780318956697
log 400(5.3)=0.27834710652891
log 400(5.31)=0.27866172321085
log 400(5.32)=0.27897574795137
log 400(5.33)=0.27928918297371
log 400(5.34)=0.27960203048864
log 400(5.35)=0.2799142926945
log 400(5.36)=0.28022597177732
log 400(5.37)=0.28053706991091
log 400(5.38)=0.28084758925694
log 400(5.39)=0.28115753196504
log 400(5.4)=0.28146690017289
log 400(5.41)=0.28177569600629
log 400(5.42)=0.2820839215793
log 400(5.43)=0.28239157899424
log 400(5.44)=0.28269867034186
log 400(5.45)=0.28300519770139
log 400(5.46)=0.2833111631406
log 400(5.47)=0.28361656871593
log 400(5.48)=0.28392141647254
log 400(5.49)=0.28422570844443
log 400(5.5)=0.28452944665446
log 400(5.51)=0.28483263311448

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