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Log 13 (400)

Log 13 (400) is the logarithm of 400 to the base 13:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log13 (400) = 2.3358997438599.

Calculate Log Base 13 of 400

To solve the equation log 13 (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 = 13:
    log 13 (400) = log(400) / log(13)
  3. Evaluate the term:
    log(400) / log(13)
    = 1.39794000867204 / 1.92427928606188
    = 2.3358997438599
    = Logarithm of 400 with base 13
Here’s the logarithm of 13 to the base 400.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 13 2.3358997438599 = 400
  • 13 2.3358997438599 = 400 is the exponential form of log13 (400)
  • 13 is the logarithm base of log13 (400)
  • 400 is the argument of log13 (400)
  • 2.3358997438599 is the exponent or power of 13 2.3358997438599 = 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 log13 400?

Log13 (400) = 2.3358997438599.

How do you find the value of log 13400?

Carry out the change of base logarithm operation.

What does log 13 400 mean?

It means the logarithm of 400 with base 13.

How do you solve log base 13 400?

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

What is the log base 13 of 400?

The value is 2.3358997438599.

How do you write log 13 400 in exponential form?

In exponential form is 13 2.3358997438599 = 400.

What is log13 (400) equal to?

log base 13 of 400 = 2.3358997438599.
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 13 of 400 = 2.3358997438599.

You now know everything about the logarithm with base 13, argument 400 and exponent 2.3358997438599.
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 Log13 (400).

Table

Our quick conversion table is easy to use:
log 13(x) Value
log 13(399.5)=2.3354120999624
log 13(399.51)=2.3354218588201
log 13(399.52)=2.3354316174335
log 13(399.53)=2.3354413758027
log 13(399.54)=2.3354511339277
log 13(399.55)=2.3354608918084
log 13(399.56)=2.3354706494449
log 13(399.57)=2.3354804068372
log 13(399.58)=2.3354901639853
log 13(399.59)=2.3354999208892
log 13(399.6)=2.335509677549
log 13(399.61)=2.3355194339645
log 13(399.62)=2.335529190136
log 13(399.63)=2.3355389460633
log 13(399.64)=2.3355487017465
log 13(399.65)=2.3355584571856
log 13(399.66)=2.3355682123806
log 13(399.67)=2.3355779673315
log 13(399.68)=2.3355877220383
log 13(399.69)=2.3355974765011
log 13(399.7)=2.3356072307198
log 13(399.71)=2.3356169846945
log 13(399.72)=2.3356267384252
log 13(399.73)=2.3356364919118
log 13(399.74)=2.3356462451545
log 13(399.75)=2.3356559981531
log 13(399.76)=2.3356657509078
log 13(399.77)=2.3356755034186
log 13(399.78)=2.3356852556853
log 13(399.79)=2.3356950077082
log 13(399.8)=2.3357047594871
log 13(399.81)=2.3357145110221
log 13(399.82)=2.3357242623132
log 13(399.83)=2.3357340133604
log 13(399.84)=2.3357437641638
log 13(399.85)=2.3357535147232
log 13(399.86)=2.3357632650389
log 13(399.87)=2.3357730151106
log 13(399.88)=2.3357827649386
log 13(399.89)=2.3357925145227
log 13(399.9)=2.3358022638631
log 13(399.91)=2.3358120129596
log 13(399.92)=2.3358217618124
log 13(399.93)=2.3358315104214
log 13(399.94)=2.3358412587866
log 13(399.95)=2.3358510069081
log 13(399.96)=2.3358607547859
log 13(399.97)=2.3358705024199
log 13(399.98)=2.3358802498103
log 13(399.99)=2.3358899969569
log 13(400)=2.3358997438599
log 13(400.01)=2.3359094905192
log 13(400.02)=2.3359192369348
log 13(400.03)=2.3359289831068
log 13(400.04)=2.3359387290352
log 13(400.05)=2.3359484747199
log 13(400.06)=2.3359582201611
log 13(400.07)=2.3359679653586
log 13(400.08)=2.3359777103125
log 13(400.09)=2.3359874550229
log 13(400.1)=2.3359971994898
log 13(400.11)=2.336006943713
log 13(400.12)=2.3360166876928
log 13(400.13)=2.336026431429
log 13(400.14)=2.3360361749217
log 13(400.15)=2.3360459181709
log 13(400.16)=2.3360556611766
log 13(400.17)=2.3360654039388
log 13(400.18)=2.3360751464576
log 13(400.19)=2.336084888733
log 13(400.2)=2.3360946307648
log 13(400.21)=2.3361043725533
log 13(400.22)=2.3361141140984
log 13(400.23)=2.3361238554
log 13(400.24)=2.3361335964583
log 13(400.25)=2.3361433372732
log 13(400.26)=2.3361530778447
log 13(400.27)=2.3361628181728
log 13(400.28)=2.3361725582577
log 13(400.29)=2.3361822980992
log 13(400.3)=2.3361920376973
log 13(400.31)=2.3362017770522
log 13(400.32)=2.3362115161638
log 13(400.33)=2.3362212550321
log 13(400.34)=2.3362309936571
log 13(400.35)=2.3362407320389
log 13(400.36)=2.3362504701774
log 13(400.37)=2.3362602080727
log 13(400.38)=2.3362699457248
log 13(400.39)=2.3362796831337
log 13(400.4)=2.3362894202994
log 13(400.41)=2.3362991572219
log 13(400.42)=2.3363088939012
log 13(400.43)=2.3363186303374
log 13(400.44)=2.3363283665304
log 13(400.45)=2.3363381024803
log 13(400.46)=2.336347838187
log 13(400.47)=2.3363575736507
log 13(400.48)=2.3363673088713
log 13(400.49)=2.3363770438487
log 13(400.5)=2.3363867785831
log 13(400.51)=2.3363965130745

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