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Log 5 (46)

Log 5 (46) is the logarithm of 46 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (46) = 2.3788686515398.

Calculate Log Base 5 of 46

To solve the equation log 5 (46) = 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 = 46, a = 5:
    log 5 (46) = log(46) / log(5)
  3. Evaluate the term:
    log(46) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 2.3788686515398
    = Logarithm of 46 with base 5
Here’s the logarithm of 5 to the base 46.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 2.3788686515398 = 46
  • 5 2.3788686515398 = 46 is the exponential form of log5 (46)
  • 5 is the logarithm base of log5 (46)
  • 46 is the argument of log5 (46)
  • 2.3788686515398 is the exponent or power of 5 2.3788686515398 = 46
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 46?

Log5 (46) = 2.3788686515398.

How do you find the value of log 546?

Carry out the change of base logarithm operation.

What does log 5 46 mean?

It means the logarithm of 46 with base 5.

How do you solve log base 5 46?

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

What is the log base 5 of 46?

The value is 2.3788686515398.

How do you write log 5 46 in exponential form?

In exponential form is 5 2.3788686515398 = 46.

What is log5 (46) equal to?

log base 5 of 46 = 2.3788686515398.
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 46 = 2.3788686515398.

You now know everything about the logarithm with base 5, argument 46 and exponent 2.3788686515398.
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 (46).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(45.5)=2.3720780382159
log 5(45.51)=2.3722145803403
log 5(45.52)=2.3723510924653
log 5(45.53)=2.3724875746041
log 5(45.54)=2.3726240267699
log 5(45.55)=2.3727604489759
log 5(45.56)=2.3728968412352
log 5(45.57)=2.3730332035609
log 5(45.58)=2.3731695359661
log 5(45.59)=2.3733058384641
log 5(45.6)=2.3734421110679
log 5(45.61)=2.3735783537907
log 5(45.62)=2.3737145666454
log 5(45.63)=2.3738507496453
log 5(45.64)=2.3739869028034
log 5(45.65)=2.3741230261328
log 5(45.66)=2.3742591196466
log 5(45.67)=2.3743951833578
log 5(45.68)=2.3745312172794
log 5(45.69)=2.3746672214245
log 5(45.7)=2.3748031958062
log 5(45.71)=2.3749391404374
log 5(45.72)=2.3750750553312
log 5(45.73)=2.3752109405006
log 5(45.74)=2.3753467959586
log 5(45.75)=2.3754826217181
log 5(45.76)=2.3756184177922
log 5(45.77)=2.3757541841939
log 5(45.78)=2.375889920936
log 5(45.79)=2.3760256280315
log 5(45.8)=2.3761613054935
log 5(45.81)=2.3762969533348
log 5(45.82)=2.3764325715683
log 5(45.83)=2.3765681602071
log 5(45.84)=2.3767037192639
log 5(45.85)=2.3768392487518
log 5(45.86)=2.3769747486835
log 5(45.87)=2.377110219072
log 5(45.88)=2.3772456599303
log 5(45.89)=2.377381071271
log 5(45.9)=2.3775164531071
log 5(45.91)=2.3776518054516
log 5(45.92)=2.3777871283171
log 5(45.93)=2.3779224217165
log 5(45.94)=2.3780576856628
log 5(45.95)=2.3781929201686
log 5(45.96)=2.3783281252468
log 5(45.97)=2.3784633009103
log 5(45.98)=2.3785984471717
log 5(45.99)=2.378733564044
log 5(46)=2.3788686515398
log 5(46.01)=2.3790037096719
log 5(46.02)=2.3791387384532
log 5(46.03)=2.3792737378963
log 5(46.04)=2.3794087080141
log 5(46.05)=2.3795436488191
log 5(46.06)=2.3796785603243
log 5(46.07)=2.3798134425423
log 5(46.08)=2.3799482954857
log 5(46.09)=2.3800831191674
log 5(46.1)=2.3802179136
log 5(46.11)=2.3803526787962
log 5(46.12)=2.3804874147686
log 5(46.13)=2.38062212153
log 5(46.14)=2.380756799093
log 5(46.15)=2.3808914474703
log 5(46.16)=2.3810260666745
log 5(46.17)=2.3811606567183
log 5(46.18)=2.3812952176142
log 5(46.19)=2.381429749375
log 5(46.2)=2.3815642520131
log 5(46.21)=2.3816987255413
log 5(46.22)=2.3818331699721
log 5(46.23)=2.3819675853181
log 5(46.24)=2.382101971592
log 5(46.25)=2.3822363288061
log 5(46.26)=2.3823706569733
log 5(46.27)=2.3825049561059
log 5(46.28)=2.3826392262165
log 5(46.29)=2.3827734673177
log 5(46.3)=2.382907679422
log 5(46.31)=2.383041862542
log 5(46.32)=2.3831760166901
log 5(46.33)=2.3833101418789
log 5(46.34)=2.3834442381208
log 5(46.35)=2.3835783054284
log 5(46.36)=2.3837123438141
log 5(46.37)=2.3838463532904
log 5(46.38)=2.3839803338698
log 5(46.39)=2.3841142855648
log 5(46.4)=2.3842482083877
log 5(46.41)=2.384382102351
log 5(46.42)=2.3845159674673
log 5(46.43)=2.3846498037488
log 5(46.44)=2.384783611208
log 5(46.45)=2.3849173898574
log 5(46.46)=2.3850511397093
log 5(46.47)=2.3851848607761
log 5(46.48)=2.3853185530702
log 5(46.49)=2.385452216604
log 5(46.5)=2.3855858513899
log 5(46.51)=2.3857194574402

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