Home » Logarithms of 9 » Log9 (400)

Log 9 (400)

Log 9 (400) is the logarithm of 400 to the base 9:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log9 (400) = 2.7268330278608.

Calculate Log Base 9 of 400

To solve the equation log 9 (400) = 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 = 400, a = 9:
    log 9 (400) = log(400) / log(9)
  3. Evaluate the term:
    log(400) / log(9)
    = 1.39794000867204 / 1.92427928606188
    = 2.7268330278608
    = Logarithm of 400 with base 9
Here’s the logarithm of 9 to the base 400.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 9 2.7268330278608 = 400
  • 9 2.7268330278608 = 400 is the exponential form of log9 (400)
  • 9 is the logarithm base of log9 (400)
  • 400 is the argument of log9 (400)
  • 2.7268330278608 is the exponent or power of 9 2.7268330278608 = 400
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log9 400?

Log9 (400) = 2.7268330278608.

How do you find the value of log 9400?

Carry out the change of base logarithm operation.

What does log 9 400 mean?

It means the logarithm of 400 with base 9.

How do you solve log base 9 400?

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

What is the log base 9 of 400?

The value is 2.7268330278608.

How do you write log 9 400 in exponential form?

In exponential form is 9 2.7268330278608 = 400.

What is log9 (400) equal to?

log base 9 of 400 = 2.7268330278608.
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 9 of 400 = 2.7268330278608.

You now know everything about the logarithm with base 9, argument 400 and exponent 2.7268330278608.
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 Log9 (400).

Table

Our quick conversion table is easy to use:
log 9(x) Value
log 9(399.5)=2.7262637724854
log 9(399.51)=2.7262751645735
log 9(399.52)=2.7262865563764
log 9(399.53)=2.7262979478941
log 9(399.54)=2.7263093391268
log 9(399.55)=2.7263207300743
log 9(399.56)=2.7263321207367
log 9(399.57)=2.7263435111141
log 9(399.58)=2.7263549012064
log 9(399.59)=2.7263662910137
log 9(399.6)=2.7263776805359
log 9(399.61)=2.7263890697731
log 9(399.62)=2.7264004587253
log 9(399.63)=2.7264118473925
log 9(399.64)=2.7264232357747
log 9(399.65)=2.726434623872
log 9(399.66)=2.7264460116843
log 9(399.67)=2.7264573992117
log 9(399.68)=2.7264687864542
log 9(399.69)=2.7264801734118
log 9(399.7)=2.7264915600844
log 9(399.71)=2.7265029464722
log 9(399.72)=2.7265143325752
log 9(399.73)=2.7265257183932
log 9(399.74)=2.7265371039265
log 9(399.75)=2.7265484891749
log 9(399.76)=2.7265598741385
log 9(399.77)=2.7265712588174
log 9(399.78)=2.7265826432114
log 9(399.79)=2.7265940273207
log 9(399.8)=2.7266054111453
log 9(399.81)=2.7266167946851
log 9(399.82)=2.7266281779402
log 9(399.83)=2.7266395609105
log 9(399.84)=2.7266509435962
log 9(399.85)=2.7266623259972
log 9(399.86)=2.7266737081136
log 9(399.87)=2.7266850899453
log 9(399.88)=2.7266964714924
log 9(399.89)=2.7267078527548
log 9(399.9)=2.7267192337327
log 9(399.91)=2.7267306144259
log 9(399.92)=2.7267419948346
log 9(399.93)=2.7267533749587
log 9(399.94)=2.7267647547982
log 9(399.95)=2.7267761343533
log 9(399.96)=2.7267875136238
log 9(399.97)=2.7267988926098
log 9(399.98)=2.7268102713113
log 9(399.99)=2.7268216497283
log 9(400)=2.7268330278608
log 9(400.01)=2.726844405709
log 9(400.02)=2.7268557832726
log 9(400.03)=2.7268671605519
log 9(400.04)=2.7268785375467
log 9(400.05)=2.7268899142572
log 9(400.06)=2.7269012906833
log 9(400.07)=2.726912666825
log 9(400.08)=2.7269240426823
log 9(400.09)=2.7269354182553
log 9(400.1)=2.7269467935441
log 9(400.11)=2.7269581685484
log 9(400.12)=2.7269695432685
log 9(400.13)=2.7269809177044
log 9(400.14)=2.7269922918559
log 9(400.15)=2.7270036657232
log 9(400.16)=2.7270150393063
log 9(400.17)=2.7270264126052
log 9(400.18)=2.7270377856198
log 9(400.19)=2.7270491583502
log 9(400.2)=2.7270605307965
log 9(400.21)=2.7270719029586
log 9(400.22)=2.7270832748366
log 9(400.23)=2.7270946464304
log 9(400.24)=2.7271060177401
log 9(400.25)=2.7271173887656
log 9(400.26)=2.7271287595071
log 9(400.27)=2.7271401299645
log 9(400.28)=2.7271515001379
log 9(400.29)=2.7271628700272
log 9(400.3)=2.7271742396324
log 9(400.31)=2.7271856089536
log 9(400.32)=2.7271969779908
log 9(400.33)=2.7272083467441
log 9(400.34)=2.7272197152133
log 9(400.35)=2.7272310833986
log 9(400.36)=2.7272424512999
log 9(400.37)=2.7272538189173
log 9(400.38)=2.7272651862507
log 9(400.39)=2.7272765533003
log 9(400.4)=2.7272879200659
log 9(400.41)=2.7272992865477
log 9(400.42)=2.7273106527456
log 9(400.43)=2.7273220186597
log 9(400.44)=2.7273333842899
log 9(400.45)=2.7273447496363
log 9(400.46)=2.7273561146988
log 9(400.47)=2.7273674794776
log 9(400.48)=2.7273788439726
log 9(400.49)=2.7273902081838
log 9(400.5)=2.7274015721113
log 9(400.51)=2.727412935755

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