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Log 48 (400)

Log 48 (400) is the logarithm of 400 to the base 48:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log48 (400) = 1.5477017417142.

Calculate Log Base 48 of 400

To solve the equation log 48 (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 = 48:
    log 48 (400) = log(400) / log(48)
  3. Evaluate the term:
    log(400) / log(48)
    = 1.39794000867204 / 1.92427928606188
    = 1.5477017417142
    = Logarithm of 400 with base 48
Here’s the logarithm of 48 to the base 400.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 48 1.5477017417142 = 400
  • 48 1.5477017417142 = 400 is the exponential form of log48 (400)
  • 48 is the logarithm base of log48 (400)
  • 400 is the argument of log48 (400)
  • 1.5477017417142 is the exponent or power of 48 1.5477017417142 = 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 log48 400?

Log48 (400) = 1.5477017417142.

How do you find the value of log 48400?

Carry out the change of base logarithm operation.

What does log 48 400 mean?

It means the logarithm of 400 with base 48.

How do you solve log base 48 400?

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

What is the log base 48 of 400?

The value is 1.5477017417142.

How do you write log 48 400 in exponential form?

In exponential form is 48 1.5477017417142 = 400.

What is log48 (400) equal to?

log base 48 of 400 = 1.5477017417142.
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 48 of 400 = 1.5477017417142.

You now know everything about the logarithm with base 48, argument 400 and exponent 1.5477017417142.
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 Log48 (400).

Table

Our quick conversion table is easy to use:
log 48(x) Value
log 48(399.5)=1.5473786425266
log 48(399.51)=1.5473851084724
log 48(399.52)=1.5473915742563
log 48(399.53)=1.5473980398784
log 48(399.54)=1.5474045053387
log 48(399.55)=1.5474109706371
log 48(399.56)=1.5474174357738
log 48(399.57)=1.5474239007486
log 48(399.58)=1.5474303655616
log 48(399.59)=1.5474368302129
log 48(399.6)=1.5474432947024
log 48(399.61)=1.54744975903
log 48(399.62)=1.547456223196
log 48(399.63)=1.5474626872002
log 48(399.64)=1.5474691510426
log 48(399.65)=1.5474756147233
log 48(399.66)=1.5474820782422
log 48(399.67)=1.5474885415995
log 48(399.68)=1.547495004795
log 48(399.69)=1.5475014678288
log 48(399.7)=1.5475079307009
log 48(399.71)=1.5475143934113
log 48(399.72)=1.54752085596
log 48(399.73)=1.5475273183471
log 48(399.74)=1.5475337805725
log 48(399.75)=1.5475402426362
log 48(399.76)=1.5475467045383
log 48(399.77)=1.5475531662788
log 48(399.78)=1.5475596278576
log 48(399.79)=1.5475660892748
log 48(399.8)=1.5475725505303
log 48(399.81)=1.5475790116243
log 48(399.82)=1.5475854725566
log 48(399.83)=1.5475919333274
log 48(399.84)=1.5475983939366
log 48(399.85)=1.5476048543842
log 48(399.86)=1.5476113146702
log 48(399.87)=1.5476177747946
log 48(399.88)=1.5476242347575
log 48(399.89)=1.5476306945589
log 48(399.9)=1.5476371541987
log 48(399.91)=1.547643613677
log 48(399.92)=1.5476500729938
log 48(399.93)=1.5476565321491
log 48(399.94)=1.5476629911428
log 48(399.95)=1.5476694499751
log 48(399.96)=1.5476759086459
log 48(399.97)=1.5476823671552
log 48(399.98)=1.547688825503
log 48(399.99)=1.5476952836893
log 48(400)=1.5477017417142
log 48(400.01)=1.5477081995777
log 48(400.02)=1.5477146572797
log 48(400.03)=1.5477211148202
log 48(400.04)=1.5477275721994
log 48(400.05)=1.5477340294171
log 48(400.06)=1.5477404864735
log 48(400.07)=1.5477469433684
log 48(400.08)=1.5477534001019
log 48(400.09)=1.5477598566741
log 48(400.1)=1.5477663130848
log 48(400.11)=1.5477727693342
log 48(400.12)=1.5477792254223
log 48(400.13)=1.547785681349
log 48(400.14)=1.5477921371143
log 48(400.15)=1.5477985927183
log 48(400.16)=1.547805048161
log 48(400.17)=1.5478115034424
log 48(400.18)=1.5478179585625
log 48(400.19)=1.5478244135212
log 48(400.2)=1.5478308683187
log 48(400.21)=1.5478373229548
log 48(400.22)=1.5478437774297
log 48(400.23)=1.5478502317433
log 48(400.24)=1.5478566858957
log 48(400.25)=1.5478631398868
log 48(400.26)=1.5478695937166
log 48(400.27)=1.5478760473853
log 48(400.28)=1.5478825008926
log 48(400.29)=1.5478889542388
log 48(400.3)=1.5478954074238
log 48(400.31)=1.5479018604475
log 48(400.32)=1.54790831331
log 48(400.33)=1.5479147660114
log 48(400.34)=1.5479212185516
log 48(400.35)=1.5479276709305
log 48(400.36)=1.5479341231484
log 48(400.37)=1.547940575205
log 48(400.38)=1.5479470271006
log 48(400.39)=1.5479534788349
log 48(400.4)=1.5479599304082
log 48(400.41)=1.5479663818203
log 48(400.42)=1.5479728330713
log 48(400.43)=1.5479792841612
log 48(400.44)=1.54798573509
log 48(400.45)=1.5479921858577
log 48(400.46)=1.5479986364643
log 48(400.47)=1.5480050869098
log 48(400.48)=1.5480115371943
log 48(400.49)=1.5480179873176
log 48(400.5)=1.54802443728
log 48(400.51)=1.5480308870813

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